Consider the following polynomial. Use synthetic division to identify integer bounds of the real zeros. Find the least upper bound and the greatest lower bound guaranteed by the Upper and Lower.

Question

Consider the following polynomial.

F(x) = x^3 + x^2 − 22x − 40

Use synthetic division to identify integer bounds of the real zeros. Find the least upper bound and the greatest lower bound guaranteed by the Upper and Lower.

Upper Bound:

Lower Bound:

Answer 1

x^3+x^2-22x-40

5 |1 1 -22 -40

5 30

1 6 8

x^2+6x+8= (x+4)(x+2)

zeros are 5, -2, -4