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

Algebra
Tutor: None Selected Time limit: 1 Day

For the polynomial below, -2 is a zero. 

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

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

Oct 16th, 2015

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

f(x) = x3 + (2x2 – 4x2 ) - (8x + 2x) + 4

= x3 + 2x2 – 4x2 - 8x + 2x + 4

= (x3 + 2x2 ) – (4x2 - 8x) + (2x + 4)

= x2(x + 2) – 4x( x + 2) + 2 (x + 2)

= (x + 2)(x2 – 4x + 2)


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Oct 16th, 2015

The answer for this question usually involves radicals if that helps any. That answer isn't correct on mine

Oct 16th, 2015

The answer for this question usually involves radicals if that helps any. That answer isn't correct on mine

Oct 16th, 2015

factor x2 – 4x + 2 = -(-x + sqrt(2) + 2)(x + sqrt(2) - 2)

Oct 16th, 2015

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