3 years ago

(x^2–x–4)multiplied by(x–5)

Mathematics

1 answer:

Sergio [31]3 years ago

7 0

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Step-by-step explanation:

Given polynomials are:

$x^2-x-4\\and\\x-5$

Both polynomials have to be multiplied. We will use distributive property for the said purpose

So,

$(x-5)(x^2-x-4)\\=x(x^2-x-4)-5(x^2-x-4)\\=x^3-x^2-4x-5x^2+5x+20$

Combining alike terms

$=x^3-x^2-5x^2-4x+5x+20\\=x^3-6x^2+x+20$

Hence,

$(x-5)(x^2-x-4) =x^3-6x^2+x+20$

Keywords: Polynomials, Multiplication

Learn more about polynomials at:

#LearnwithBrainly

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