Question Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. What is the expression in factored form? 3x2+6x−24
To factor the given expression, 3x^2 + 6x - 24, we first look for common factors among the terms. In this case, the number 3 can be factored out from each term:
3(x^2 + 2x - 8)
Now, we want to factor the quadratic expression inside the parentheses. We look for two numbers that multiply to give -8 and add up to 2. The numbers 4 and -2 satisfy these conditions, so we can factor the quadratic expression as:
3(x - 2)(x + 4)
Therefore, the expression in factored form is 3(x - 2)(x + 4).