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?
P(x) = x4 + 2x3 + 2x2 - 5x + 3; Is there a real zero between 0 and 1...
Use Descartes' Rule of Signs to analyze the zeros of the following. List all possibilities.
1. P(x) = x5 - 4x4 + 3x3 + 2x - 6
2. P(x) = -5x4 + x3 + 2x2 - 1
3. P(x) = 2x5 + 7x3 + 6x2 - 2
So I found these answers, are they right?:
1. P(x) = x^5 - 4x^4 + 3x^3 + 2x - 6
(3...
After reading Dick's response, I turned in the assignment. I thought I had everything right... And I got 2 out of 5 right. Can someone tell me where I went wrong?
Here's the answers I turned in:
1. D. -1, 1, 2
2. A. 3, -2, -1
3. C. -3, -1/3, 1/2
And I got 4 and 5 right... the...
I'm pretty sure I got one and two right.
3. I worked out the problem using synthetic division, which is what I was told to do, and the answer came out even. I got:
6, 1, -1, and 0.
No remainder, completely even. But that's not one of the options I have to chose from, so I must being...
For each of the following polynomials, one zero is given. List all zeros of the polynomials.
1. P(x) = x^3 - 3x - 2, -1 is a zero
A. -1, -2
B. -1, 2
C. -1 of multiplicity 2, 2
D. -1, 1, 2
2. P(x) = x^3 - 6x^2 + 11x - 6 , 3 is a zero
A. 3, -2, -1
B. 3, 2 of multiplicity...