Question

Is the given linear expression a factor of the polynomial?

f(x)=2x^3+x^2-5x+2;x+2

please show your work

Answer 1

2x³ + x² - 5x + 2

(2x³ + 3x - 2)(x - 1)

(2x³ + 4x - x - 2)(x - 1)

(2x(x + 2) - (x + 2))(x - 1)

(x + 2)(2x - 1)(x - 1)

so x + 2 is not a factor of the polynomial!

hope this helped, God bless!