Question

Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right. (4 points) Group of answer choices x2 − 4x − 12 [ Choose ] x2 + 4x − 12 [ Choose ] x2 − x − 12 [ Choose ] x2 − 7x − 12 [ Choose ] i will give 40 points

Answer 1

Your input: factor x2+4x+3.

To factor the quadratic function x2+4x+3, we should solve the corresponding quadratic equation x2+4x+3=0.

Indeed, if x1 and x2 are the roots of the quadratic equation ax2+bx+c=0, then ax2+bx+c=a(x−x1)(x−x2).

Solve the quadratic equation x2+4x+3=0.

The roots are x1=−1, x2=−3 (use the quadratic equation calculator to see the steps).

Therefore, x2+4x+3=1(x+1)(x+3).

(x2+4x+3)=1(x+1)(x+3)

Explanation: