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

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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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