One root of f(x) = 2x3 + 9x2 + 7x – 6 is –3. Explain how to find the factors of the polynomial.

Answer:

Since -3 is a root, (x + 3) is a factor of the polynomial. Divide 2x^3 + 9x^2 + 7x – 6 by (x + 3) using synthetic division. The resulting quotient is the quadratic expression 2x^2 + 3x – 2. Finally, f