Question

Factor z3 + 2z2 - 9z - 18.

In complete sentences, explain the process that you followed to factor the polynomial. Include the final factored form in your answer.

Answer 1

first, considering you have 4 terms total, we can factor by grouping. group the first 2 terms, and then the second 2 terms.

(z3 + 2z2) (-9z - 18) ---> then factor out a multiple so that the terms inside both parentheses are the same ---------

---> z2(z + 2)-9(z + 2) ((( it still = z3 + 2z2 - 9z - 18 )))

then take the terms outside of the parenthesis and group them -----------------------------> (z2 - 9) , put that <---- next to the terms inside the original parentheses -----------------------> (z2 - 9)(z+2)
------> z = 3 , -3, and -2

Answer 2

Ok, Thank you. That helped a lot.