Question

I'm having trouble with these algebra problems:

Complete factored form:
F(x)=2x^4+x^3-19x^2-9x-9

Complete the following for the function .
(i) Evaluate f(x) at the indicated values of x. (ii) Find the domain of

F(x)=x^3-3x for x=-10,a+1

Answer 1

Glad you're asking questions. In the future, please post just one question at a time. I'm assuming you want to focus on the following first:

"Complete factored form:
F(x)=2x^4+x^3-19x^2-9x-9"

First, I have two questions for you: 1) have you any experience with "synthetic division?" 2) what previous experience have you with factoring polynomials? Which methods have you used?

Answer 2

Please double-check that you've copied the original problem correctly. I've tried synthetic division and have found that one root is -3.18, not an integer as we'd hoped to find.

Answer 3

Sorry it's:
"F(x)=2x^4+x^3-19x^2-9x+9"
we been using the synthetic division, but most of the problems the zeros are given and i tried using the synthetic division with factors of 9 but i didn't work

Answer 4

Remember that those "factors of 9" could be either positive or negative.
Also, you need to take the initial coefficient, 2, into account.

Take that 2 and that final coefficient (9), multiply them together (getting 18), and then list all of the factors of 18, positive and negative. Try some of your results as divisors (obviously starting with those you haven't already tried).

Answer 5

Again I've tried synthetic div and this time (with your corrected coefficients) have found one nice integer root.