Determine the maximum number of real zeros that each polynomial function may have. Then list the potential rational zeros of each polynomial function. Do not attempt to find the zeros.

Question

1. f(x) = 2x⁵-x⁴-x²+1

2. f(x) = -4x³+x²+x+6

3. f(x) = -6x³-x²+x+10

Find the bounds to the zeros of each polynomial function. Use the bounds to obtain a complete graph of f.

Question

1. f(x) =3x⁵-x²+2x+18

Find the real zeros of f. Use the real zeros to factor f.

Question

1. f(x) = x³+8x²+11x-20

2. f(x) = 3x³-7x²+12x-28

3. f(x) = x⁴-x³-6x²+4x+8

4. f(x) = 2x⁴+11x³-5x²-43x+35

5. f(x) = 4x⁵+12x⁴-x-3

Find the real zeros of f. If necessary, round to two decimal places.

Question

1. f(x) = x⁴+1.2x³-7.46x²-4.692x+15.2881

Find the real solutions of each question.

Question

1. 2x³+3x²+2x+3=0

2. 2x³-11x²+10x+8=0

3. x³-2/3x²+3x-2=0