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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreUse the factor theorem to determine whether g(x) is a factor of p(x) in each of the following cases (i) p(x)=2x³x²2x1,g(x)=x1 (ii)p(x)=x³3x²3x1,g(x)=x2 (iii)p(x)=x³4x²x6,g(x)=x3X^{2}2x1=101 Divide 2, the coefficient of the x term, by 2 to get 1 Then add the square of 1 to both sides of the equation This step makes the left hand side of the equation a perfect square x^{2}2x1=11 Add 10 to 1 \left(x1\right)^{2}=11 Factor x^{2}2x1 In general, when x^{2}bxc is a perfect square, it can always be

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P x 2x 3 x 2-2x-1 g x x 1-First type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More ExamplesFirst type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More Examples

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Examples x^22x=1, 3xxxaa=5, (x^21)/(x1), 2x(xx) Single letter variables only, no functions, xy means x*y, x(x1) means x*(x1), sin(x) means s*i*n*(x) You must use the "*" (star) symbol for all multiplications!When f(x) = 2x 3 3x 2 4x 6 f(0) = 2×0 3 3×0 2 4×0 6 = 6 The point (0, 6) is the point where the graph crosses the y axis All points on the x axis have the y−value zero so we can find where the graph crosses the x−axis by putting y = 0 and solving the equation for xX ^ 2 2x 1 = 0 Quadratic equations such as this one can be solved by a new direct factoring method that does not require guess work To use the direct factoring method, the equation must be in the form x^2BxC=0 r s = 2 rs = 1

Cos(x^2) (x−3)(x3) Zooming and Recentering To zoom, use the zoom slider To the left zooms in, to the right zooms out When you let go of the slider it goes back to the middle so you can zoom more You can clickanddrag to move the graph aroundStep 1 Equation at the end of step 1 (((x 3) 3x 2) 2x) 1 Step 2 Checking for a perfect cube 21 x 33x 22x1 is not a perfect cube Trying to factor by pulling out 22 Factoring x 33x 22x1 Thoughtfully split the expression at hand into groups, each group having two termsExamples x^22x=1, 3xxxaa=5, (x^21)/(x1), 2x(xx) Single letter variables only, no functions, xy means x*y, x(x1) means x*(x1), sin(x) means s*i*n*(x) You must use the "*" (star) symbol for all multiplications!

Cos(x^2) (x−3)(x3) Zooming and Recentering To zoom, use the zoom slider To the left zooms in, to the right zooms out When you let go of the slider it goes back to the middle so you can zoom more You can clickanddrag to move the graph aroundExample 4 We wish to translate the graph of the function f(x) = x 3 – x by the vector The following table of values is for x taking values between –2 and 2 First we calculate f(x) Next we move all the outcomes down by 1 ( eg the value for x = – 2 becomes the value for x = –1)X22x3=0 Two solutions were found x = 1 x = 3 Step by step solution Step 1 Trying to factor by splitting the middle term 11 Factoring x22x3 The first term is, x2 its

1 Functions

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Find the expected value of g(X) = e2X=3 Solution By de nition we have Ee 2X= 3 = Z 1 1 ex= f(x) dx= Z 1 0 e2x=3e x dx = Z 1 0 e x=3 dx= 3e x=3 1 0 = 3 434 Let Xbe a random variable with the following probability distribution x 2 3 5 f(x) 03 02 05 Find the standard deviation of X Solution Note the standard deviation is the squareIt means a function x of x1 x*(x1)It means a function x of x1 x*(x1)

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Algebra 2 Given the functions, f(x) = x2 2 and g(x) = 4x 1, perform the indicated operation When applicable, state the domain restriction g(f(x)) 4 x2 1 16 x2 3 4 x2 7 16 x2 8 x 3 Please helpTherefore, let f(x) = g(x) = 2x 1 Then, f(x)g(x) = 4x 2 4x 1 = 1 Thus deg(f⋅g) = 0 which is not greater than the degrees of f and g (which each had degree 1) Since the norm function is not defined for the zero element of the ring, we consider the degree of the polynomial f(x) = 0 to also be undefined so that it follows the rules of a(x^22x1)(2x^23x6) es Related Symbolab blog posts High School Math Solutions – Polynomials Calculator, Dividing Polynomials In the last post, we talked about how to multiply polynomials In this post, we will talk about to divide polynomials

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#"to evaluate" (f@g)(x)" substitute g(x) into f(x)"# #f(color(red)(2x1))# #=2(color(red)(2x1))^35(color(red)(2x1))^2# #"factor out " (2x1)^2# #rArr(2x1)^22(2xSolve for x 1/x1/(x3)=(x2)/(x3) Find the LCD of the terms in the equation Tap for more steps Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values Since contain both numbers and variables, there are four steps to find the LCMStep by step solution Step 1 Equation at the end of step 1 ((2x 3 x 2) 2x) 1 = 0 Step 2 Checking for a perfect cube 21 2x 3x 2 2x1 is not a perfect cube Trying to factor by pulling out 22 Factoring 2x 3x 2 2x1 Thoughtfully split the expression at hand into groups, each group having two terms

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G(x) = (3x 1)/(2x 1) Let's use the power rule with g(x) = (3x 1)(2x 1)^1, so g'(x) = 3/(2x 1) 2(3x 1)(1)/(2x 1)^2 Let's simplify this a bitJika f(x) = 2x 3 dan (gof)(x) = 2x 1, maka g(x) = A x 4 C 2x 5 E 3x 2 B 2x 3 D x 7 jawab (gof)(x) = g (2x3) = 2x 1 misal 2x 3 = p 2x = p 3 x = 2 3 p g (2x3) = 2x1 g(p) = 2 ( 2 3 p ) 1 = p 4 maka g(x) = x 4 Jawabannya adalah A wwwmatematikasmacom 3 UMPTN1999 7Question Given that g(x)=3x^22x1, find each of the following g(0) g(3) g(1t) g(1) g(x) I haven't been in Algebra in 13 years The teacher suggested that I go back to basic, but I am determined to pass this class I appreciate any help you can provide

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P(x)=2x^3 7x^2 2x 3 (a) Use the factor theorem to prove that x 3 is a factor of p(x) (b) Simplify the expression (2x^3 7x^2 2x 3)/(4x^21), x!= 05 (a) The factor theorem states that the polynomial f(x) has a factor (x a) if and only if f(a) = 0Use that information, we know that (x 3) is a factor of p(x) if p(3) = 01 Suppose that the joint pdf of X and Y is given by f(x,y) = 8xy, 0 < x < y < 1 = 0 elsewhere (a) Verify that the f(x,y) given above is indeed a pdf Answer Z 1 0 Z y 0 8xydxdy = Z 1 0 4yx2y 0 dy = Z 1 0 4y3dy = y41 0 = 1 So, f(x,y) is a pdf (b) Find the marginal probability density of X, f 1(x) Answer f 1(x) = Z 1 x 8xydy = 4xy2Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more

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Since f (x) involves a square root, the inputs have to be nonnegative This means that the domain (the set of xvalues) for f (x) is "all x > 0"Use the factor theorem to determine whether g(x) is a factor of p(x) in each of the following cases (i) p(x)=2x³x²2x1,g(x)=x1 (ii)p(x)=x³3x²3x1,g(x)=x2 (iii)p(x)=x³4x²x6,g(x)=x3Weekly Subscription $199 USD per week until cancelled Monthly Subscription $499 USD per month until cancelled Annual Subscription $2999 USD per year until cancelled

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Use the factor theorem to determine whether g(x) is a factor of p(x) in each of the following cases (i) p(x)=2x³x²2x1,g(x)=x1 (ii)p(x)=x³3x²3x1,g(x)=x2 (iii)p(x)=x³4x²x6,g(x)=x3Eg1 Write input √x as x^(1/2) 2 Write 5x as 5*x 3 Write x5 as x5 4 Write x 25x as x^25*x 3 Use paranthesis() while performing arithmetic operations Eg1 Write sinxcosxtanx as sin(x)cos(x)tan(x) 2 Write secx*tanx as sec(x)*tan(x) 3 Write tanx/sinx as tan(x)/sin(x) 4 Use inv to specify inverse and ln to specify natural logFor the given functions of each composite functions f and g, find f of g, g of f, f of f, g of g

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F(x) = x² – 1 g(x) = 2x – 3 f(g(x))=(2x3)²1=(2x)²2*2x*33²1 f(g(x))=4x²12x8 The function has no undefined points or domain constraintsWhen f(x) = 2x 3 3x 2 4x 6 f(0) = 2×0 3 3×0 2 4×0 6 = 6 The point (0, 6) is the point where the graph crosses the y axis All points on the x axis have the y−value zero so we can find where the graph crosses the x−axis by putting y = 0 and solving the equation for xCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history

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1 Functions

Eg1 Write input √x as x^(1/2) 2 Write 5x as 5*x 3 Write x5 as x5 4 Write x 25x as x^25*x 3 Use paranthesis() while performing arithmetic operations Eg1 Write sinxcosxtanx as sin(x)cos(x)tan(x) 2 Write secx*tanx as sec(x)*tan(x) 3 Write tanx/sinx as tan(x)/sin(x) 4 Use inv to specify inverse and ln to specify natural logCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyClick here👆to get an answer to your question ️ Factorise completely 2x^3 x^2 2x 1

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Quadraticequationcalculator x^22x1=3x10 en Related Symbolab blog posts High School Math Solutions – Quadratic Equations Calculator, Part 3 On the last post we covered completing the square (see link) It is pretty strait forward if you follow all theF(x) = x² – 1 g(x) = 2x – 3 f(g(x))=(2x3)²1=(2x)²2*2x*33²1 f(g(x))=4x²12x8 The function has no undefined points or domain constraintsP(x)=2x^3 7x^2 2x 3 (a) Use the factor theorem to prove that x 3 is a factor of p(x) (b) Simplify the expression (2x^3 7x^2 2x 3)/(4x^21), x!= 05 (a) The factor theorem states that the polynomial f(x) has a factor (x a) if and only if f(a) = 0Use that information, we know that (x 3) is a factor of p(x) if p(3) = 0

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Question Given that g(x)=3x^22x1, find each of the following g(0) g(3) g(1t) g(1) g(x) I haven't been in Algebra in 13 years The teacher suggested that I go back to basic, but I am determined to pass this class I appreciate any help you can provideExample 4 We wish to translate the graph of the function f(x) = x 3 – x by the vector The following table of values is for x taking values between –2 and 2 First we calculate f(x) Next we move all the outcomes down by 1 ( eg the value for x = – 2 becomes the value for x = –1)StepbyStep Solutions Use stepbystep calculators for chemistry, calculus, algebra, trigonometry, equation solving, basic math and more Gain more understanding of your homework with steps and hints guiding you from problems to answers!

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Intuitively, a function is a process that associates each element of a set X, to a single element of a set Y Formally, a function f from a set X to a set Y is defined by a set G of ordered pairs (x, y) such that x ∈ X, y ∈ Y, and every element of X is the first component of exactly one ordered pair in G In other words, for every x in X, there is exactly one element y such that theX tidak sama dengan 1/2, maka f^1(x2) 3) (2x1)/(x3) ;1) jika f(x) = 2x3 dan g(x) = 1/3x1, maka (f o g)^1(x) 2) f(x)=(3x4)/(2x1) ;

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Sometimes you have to be careful with the domain and range of the composite function Given f (x) = sqrt(x) and g(x) = x – 2, find the domains of (f o g)(x) and (g o f)(x);First type the equation 2x3=15 Then type the @ symbol Then type x=6 Try it now 2x3=15 @ x=6 Clickable Demo Try entering 2x3=15 @ x=6 into the text box After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x3=15 2(6)3 = 15 The calculator prints "True" to let you know that the answer is right More ExamplesCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history

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