Given polynomial f(x) and a factor of f(x), factor f(x) completely

Mathematics
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Given polynomial f(x) and a factor of f(x), factor f(x) completely f(x)=x^3-10x+19x+30;x-6

Oct 3rd, 2015

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According to given question

f(x)=x^3-10x^2+19x+30    ;f(x)=x-6

Divide f(x) by the given factor

=x^3-10x^2+19x+30/(x-6)

=x^2-4x-5

By factoring in reduced quardratic

 =(x-5)(x+1)

so by alto gethering the quation

=x^3-10x^2+19x+30

=(x-6)(x-5)(x+1)

Answer


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Sep 20th, 2015

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