Question

Use synthetic division to determine whether the number k is an upper or lower bound (as specified for the real zeros of the function f).

k = 2; f(x) = 2x^3 + 4x^ 2 + 2x - 4; Lower bound? Yes or no?

Answer 1

If after doing synthetic division, the row of answers is all positive, it's an upper bound.

Answer 2

thanks so much!!

Answer 3

Synthetic division:

now you can decide.

Answer 4

And it's a lower bound, if you divide by a negative root, and the row of answers alternate in sign, like + - + -. Zero counts as either + or - as needed.