Question

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

Answer 1

Answer:

$(x+1)(5x-4)(x-2)$

Step-by-step explanation:

We know that (x+1) is a factor, so we can use synthetic division to factor it out of $5x^3-9x^2-6x+8$.

Once factored, we get $(x+1)(5x^2-14x+8)$

Now all we need to do is factor$(5x^2-14x+8)$

$(5x^2-14x+8)=(5x-4)(x-2)$

This gives us the answer $(x+1)(5x-4)(x-2)$.

Answer 2

Answer:

(x+1)(5x-4)(x-2)

Step-by-step explanation: