Solve the given equation. State the number and type of roots.

1.  x² + 5x – 36 = 0

State the possible number of imaginary zeros in the given function.

2. f(x) = -6x⁴ + 8x³ + 12x³ + 12x² – 5x – 15

3. f(x) = -16x³ + 4x² + 9x⁶

4.  Find all of the zeros of the function f(x) = x³ – 22x² + 154x – 328.

5.  Find all of the zeros of the function f(x) = 6x³ – 45x² + 111x – 90.

Answers ( 1. Two real roots, 4 and -9   2. 4   3. 2   4. 4, (9 – i), (9 + i)   5. 2.5, 2, 3 )

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