Question

P(x)=x^4-81. State the roots and their multiplicities. I got the roots are 3 and -3, 3i and -3i, each with a multiplicity of 1. Please check my math. Thank you ^_^.

Answer 1

Also state the roots of the polynomial. P(x)=x^2-8x+16. I got x=4 with mult of 2. Please check my math. Thank you.

Answer 2

The first one is correct.

Answer 3

Both are correct. You're very smart!!

Answer 4

thank you. ^_^

Answer 5

@Mertsj so for the second question would the answer look like this: 4,-4?

Answer 6

No. 4, multiplicity 2

Answer 7

There is only 1 answer but since it has multiplicity 2, it indicates a point of tangency to the x axis rather than a crossing of the x axis.

Answer 8

Thank you.

Answer 9

yw

Answer 10

I have one more question @Mertsj. Factor X^3-3x^2+4x-12. I got (x-3i)(x+3i)(x+4). Is this right?