Warmups Topic 8.5

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 )

(source)