1. Solve each equation, then state the number and type of roots. one real root two real roots Example 5-1a

2. one real root and two imaginary roots Example 5-1c

3. two real roots andtwo imaginary roots Example 5-1e

4. Write a polynomial function of least degree with integer coefficients whose zeros include 2, 1 and -3 x = 2 x = 1 x = -3 x – 2 = 0 x – 1 = 0 x + 3 = 0 (x – 2)(x – 1)(x + 3) = 0 (x2 – 3x + 2)(x + 3) = 0 x3 + 3x2 – 3x2 – 9x + 2x + 6 = 0 x3 – 7x + 6 = 0 Example 5-4e

5. Write a polynomial function of least degree with integer coefficients whose zeros include 4 and 4 – i. Complex zeros occur in conjugate pairs x = 4 x = 4 – i x = 4 + i x – 4 + i = 0 x – 4 = 0 x – 4 – i = 0 (x – 4) (x – 4 + i) (x – 4 – i) + 1 x2 – 4x – xi – 4x + 16 + 4i + xi – 4i – i2 (x – 4) x2 – 8x + 17 Example 5-4a