The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1). Rewrite p(x) as a product of linear factors.

Step-by-step explanation:

We know that (x+1) is a factor, so we can use synthetic division to factor it out of .

Once factored, we get

Now all we need to do is factor

This gives us the answer .

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.