Using a given zero to write a polynomial as a product of linear factors

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For the polynomial below, 3 is a zero.

f(x) = x^3 - x^2 - 12x -18

Express f(x) as a product of linear factors

Oct 16th, 2015

Thank you for the opportunity to help you with your question!

 please check if 

f(x) is correct because linear factors are not coming.


check and reply.

i will asnswer it .



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Oct 16th, 2015

if f(x) =x^3-x^2-12x+18

3 is a zero

so divide f(x) by x-3 using long division

we get f(x) = (x-3) (x^2+2x-6)

             the roots of x^2+2x+6 are imaginary

    and they are -1+2.2i    and  -1 -2.2i 

so 

x^3-x^2-12x+18 =(x-3)(x-(-1+2.2 i)) (x-(-1-2.2 i))


Oct 16th, 2015

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