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, 1 is a zero.

g(x) = x^3 - 6x^2 +11x - 6

Express g(x) as a product of linear factors

Oct 16th, 2015

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

g(x) =x^3-6x^2+11x-6

1 is a zero.

therefore,

by long division

g(x)=(x-1)(x^2-5x+6)

      =(x-1)(x^2-3x-2x+6)

       =(x-1)(x(x-3)-2(x-3))

       =(x-1)(x-3)(x-2)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 16th, 2015

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Oct 16th, 2015
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Oct 16th, 2015
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