Express f(x) as a product of linear factors

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For the polynomial below -3 is a zero

f(x)= x^3 + 9x^2 + 24x + 18

Express f(x) as a product of linear factors

Oct 18th, 2015

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x = -3 is a zero of the polynomial

So x + 3 is a factor.


Divide f(x) by (x+3) to find the other factors.


So


Now factorize   since we need linear factors. We can use the quadratic formula to do that.

a = 1, b = 6, c = 6

The quadratic formula is



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Oct 18th, 2015

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Oct 18th, 2015

Remaining part of the answer is given below.Sorry for the delay.

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So




Oct 18th, 2015

Hence f(x) as a product of linear factors is

Oct 18th, 2015

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