Question

This past week you worked on several strategies that allowed you to factor various polynomials. We will now use these strategies to help us solve quadratic equations. Consider the equation 3x2+18x+15=0.
How might we want to start factoring the polynomial expression on the left hand side?

Answer 1

\[3x^2+18x+15=0\]

Answer 2

(3x +3 )(1x+5)

Answer 3

does this help?

Answer 4

3 factors into 3x1, 15 factors into 5x3 or 15x1. 5x3+3x1(cross multiplying factors) is 18. So, (3x+3)(x+5).

Answer 5

that is factored form

Answer 6

your answer is x=-1 or x=-5