Question

Factor the quadratic x2+ 3x − 10. Explain your process for factoring and rewrite the original quadratic in factored form

Answer 1

The first thing you must do is to find factors that equal to -10
1 x -10, -10 x 1, -2 x 5 and -5x 2. Then of these four groups of factor we chose the one that when the two factors are added equals to 3. So -2 x 5 equals 3
So are answer is
(x-2)(x+5)

Answer 2

(x-2)(x+5)

Explanation:

when factoring, our equation should be in this format: (x+__) (x+__) Then we have to find numbers that add up to 3 but multiply to -10 aka -2 and 5. -2+5=3 and -2(5)= -10