Question

Not sure how to do this problem

Answer 1

First we need to write the factors of the polynomial. In order for 1, 4, and -3 to be roots, they need to be the x values that make the polynomial equal 0.

(x - 1) = 0

That would be the factor for x = 1 because when we plug 1 in for x we get 1 - 1 which equals 0.

Multiply all the factors together.

(x-1)(x-4)(x+3)=0

Now FOIL.

$(x^2-5x+4)(x+3)$

$x^3-2x^2-11x+12$