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

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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

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Jesus Because he is all ways the answer
use the Factor Theorem which states that if (x - a) is a factor of P(x) then P(a) = 0
so for number 1 check if f(-2) = 0

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any questions? do you know how to find f(-2)?
Yes, it equals 0
so that means that x +2 is a factor
Okay got it, so for number 2 it would be g(-3)?
Yes, and for number 3 you would check h(5)
Alright, got it. Thank you so much! :)
yw

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