Answer the following:
1. When the polynomial P(x) is divided by (x-3), the remainder is -1. What is P(3)?
2. Suppose P(-2) = 3, what is the remainder when P(x) is divided by (x+2)?
3. If P(3) = 0, what is one factor of P(x)?
4. If (x – 3) is a factor of P(x), what is the remainder when P(x) is divided by
X-3?
5. If (2x - 3) is a factor of T(x), name a zero of T(x).
Use the polynomial equation 2x3 + x - 7x - 6 = 0 to answer the following questions.
6. Is 1 a root? Is -1 a root?
7. Write the equation as a product of a linear and a quadratic factor. 8. What are the roots of the quadratic factor?
9. Give the 3 roots of the polynomial equation.
10. Write the polynomial equation as a product of linear factors.