Find the zeros of the following polynomials.
 

1.    f(x) = x³-x²-10x-8

2.    f(x) = 2x³-3x²-17x+30

3.    f(x) = x⁴+3x³-30x²-6x+56

4.    f(x) = 2x³-7x²-10x+24

5.    f(x) = 6x³+19x²+x-6

6.    f(x) = 8x³+18x²+45x+27

7.    f(x) = x⁴-x³-9x²-3x-36

8.    f(x) = 9x⁴+15x³-20x²-20x+16

9.    f(x) = 4x⁵+12x⁴-41x³-99x²+10x+24
 

4 Additional Problems

Put into proper form and graph each function without a calculator.
 

1.    y = x³ (x-2) (x+5)

2.    y = (3-x)³ (x+1)²

3.    y = (3-x)² (x+1)²

4.    y = (x³-12x²+36x) (x³-3x²+3x-1)
 
 
 
 
 

Answers:
 

1.    -1, -2, 4

2.    2, -3, 5/2

3.    4, -7, sqrt(2), -sqrt(2)

4.    4, -2, 3/2

5.    1/2, -2/3, -3

6.    -3/4, [-3+3i sqrt(7)]/4, [-3-3i sqrt(7)]/4

7.    4, -3, i sqrt(3), -i sqrt(3)

8.    1, -2, -4/3, 2/3

9.    3, -4, -2, 1/2, -1/2