Write a polynomial as a product of linear factors.

Algebra
Tutor: None Selected Time limit: 1 Day

For the polynomial below, the -2 is a zero.

f(x)= x^3 - 2x^2 - 6x + 4

Express f(x) as a product of linear factors.

Use fractions or radicals in answers not decimals.

Oct 17th, 2015

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

since -2 is a zero,

so, x -(-2) =0
x +2 = 0

therefore,
f(x)= x^3 - 2x^2 - 6x + 4

= x^2(x+2) - 4x(x+2) +2(x+2)
=(x^2 -4x+2)(x+2) (Answer)

Let me know incase you need any further help ! Thanks :)
Oct 17th, 2015

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