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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
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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)
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