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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