[tex](x-5)(x^2-x-4) =x^3-6x^2+x+20[/tex]
Step-by-step explanation:
Given polynomials are:
[tex]x^2-x-4\\and\\x-5[/tex]
Both polynomials have to be multiplied. We will use distributive property for the said purpose
So,
[tex](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[/tex]
Combining alike terms
[tex]=x^3-x^2-5x^2-4x+5x+20\\=x^3-6x^2+x+20[/tex]
Hence,
[tex](x-5)(x^2-x-4) =x^3-6x^2+x+20[/tex]
Keywords: Polynomials, Multiplication
Learn more about polynomials at:
- brainly.com/question/4703807
- brainly.com/question/4703820
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