SOLUTION: For the polynomial below, -1 is a zero. f(x)=x^3 +5x^2 +17x +13 Express f(x) as a product of linear factors. f(x)= ?

SOLUTION: For the polynomial below, -1 is a zero. f(x)=x^3 +5x^2 +17x +13 Express f(x) as a product of linear factors. f(x)= ?

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Question 697214: For the polynomial below, -1 is a zero.
f(x)=x^3 +5x^2 +17x +13
Express f(x) as a product of linear factors.
f(x)= ?
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!

If x=-1 is a root then is a factor so

By observation we can see the coefficient of is 1 so so:

Comparing coefficients of :
Comparing coefficients of : so
Comparing coefficients of : and is consistent with above

Hence,

This does not factorize further

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