Question

How do you find the zeros by factoring.
Ex. 2x^3-x^2-18x+9

Answer 1

Do you need help?

Answer 2

Yes please

Answer 3

2x^(3)-x^(2)-18x+9

Factor the greatest common factor (GCF) from each group.
(x^(2)(2x-1)-9(2x-1))

Factor the polynomial by grouping the first two terms together and finding the greatest common factor (GCF). Next, group the second two terms together and find the GCF. Since both groups contain the factor (2x-1), they can be combined.
(x^(2)-9)(2x-1)

The binomial can be factored using the difference of squares formula, because both terms are perfect squares. The difference of squares formula is a^(2)-b^(2)=(a-b)(a+b).
(x-3)(x+3)(2x-1)