Question

Given that x=3 is a zero of f(x)=x^3-5x^2+11x-15, find the other zeros.

Answer 1

If x = 3 is a zero, then x-3 is a factor

So you can divide x^3-5x^2+11x-15 by x-3 to get a polynomial. From here, you can use the quadratic formula on this new result to find the other two zeros.

Answer 2

Are you familiar with synthetic division?

Answer 3

Yes I am

Answer 4

Use synthetic division and tell me what you get

Answer 5

ok I came up with x^2-8x+35 with a remainder of -120

Answer 6

you shouldn't get a remainder of -120 since the remainder is really 0

keep in mind that x-3 is a factor

Answer 7

ok

Answer 8

I got an answer of 3, 1+2i, 1-2i is that right??

Answer 9

you got it, nice job

Answer 10

Thank You for your Help

Answer 11

yw