Question

One factor of this polynomial is (x + 8).

2) + 522 - 11x + 104
Use synthetic division to find the other factor of the polynomial.

Answer 1

We can use synthetic division to divide the polynomial 2x^3 + 522x^2 - 11x + 104 by x + 8, since x + 8 is a factor of the polynomial:

-8 | 2 522 -11 104

| -16 -412 2584

|--------------------

2 506 -423 2688

The numbers in the bottom row of the synthetic division represent the coefficients of the quotient polynomial, in order of decreasing degree. So the quotient polynomial is:

2x^2 + 506x - 423

Therefore, the other factor of the polynomial is 2x^2 + 506x - 423.