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Given that f(x)=x^2+4x-32f(x)=x
2
+4x−32 and g(x)=x-4g(x)=x−4, find (f+g)(x)(f+g)(x) and express the result in standard form

Sagot :

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Answer: So after solving and simplifying terms equation is[tex]x^4+10x^3-47x^2-360x+1296[/tex]

Step-by-step explanation: Given we have two equations f(x) =[tex]x^{2} +4x-32[/tex] and g(x) = [tex]x-4[/tex]

we have been asked to find ( f +g)(x) that is f(x)+g(x)

So first we add them [tex]x^{2} +4x-32 + x-4[/tex]

So we have an equation that is: [tex]x^{2} +5x-36[/tex]

Then we need to multiply both

[tex](x^2+5x-36)(x^2+5x-36)[/tex]

So we get[tex]\left(x^2+5x-36\right)^2[/tex]

Distribute parentheses

[tex]x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)[/tex]

On simplifying

[tex]x^4+10x^3-47x^2-360x+1296[/tex]

So standard form of result is [tex]x^4+10x^3-47x^2-360x+1296[/tex] .

Learn more about standard equation at brainly.com/question/14979161

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