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

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

anonymous · Answer

Jesus Because he is all ways the answer

welshfella · Answer

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

welshfella · Answer

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

welshfella · Answer

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

anonymous · Answer

Yes, it equals 0

welshfella · Answer

so that means that x +2 is a factor

anonymous · Answer

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

welshfella · Answer

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

anonymous · Answer

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

welshfella · Answer

yw