Question

Is the given linear expression a factor of the polynomial? Please help me show work.
1. f(x)=2x^3+x^2-5x+2 ;x+2
2. g(x)=3x^3+2x^2-17+6 ;x+3
3. h(x)=x^4-4x^3-15x^2+58x-40 ;x-5

Answer 1

Jesus Because he is all ways the answer

Answer 2

use the Factor Theorem which states that if (x - a) is a factor of P(x) then P(a) = 0

Answer 3

so for number 1
check if f(-2) = 0

Answer 4

any questions?
do you know how to find f(-2)?

Answer 5

Yes, it equals 0

Answer 6

so that means that x +2 is a factor

Answer 7

Okay got it, so for number 2 it would be g(-3)?

Answer 8

Yes, and for number 3 you would check h(5)

Answer 9

Alright, got it. Thank you so much! :)

Answer 10

yw