Question

Use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomials have a real zero between the numbers given.

P(x) = x3 - 3x2 + 2x - 5; Is there a real zero between 2 and 3?

Answer 1

ima refreshed too lol

Answer 2

Find \(P(2)\) and \(P(3)\) to start with.

Answer 3

Can you do that? To continue, you have to find if 0 is between \(P(2)\) and \(P(3)\).

Answer 4

hold on lol

Answer 5

is P(2)-5?????

Answer 6

Yes. What about P(3)?

Answer 7

1

Answer 8

Right.

Answer 9

now what

Answer 10

Is 0 between -5 and 1?

Answer 11

yes!