Question

Drag each term to the correct location on the expression. Each term can be used more than once, but not all terms wil be used.

Completely factor this quadratic expression:
4×2 + 12×- 72
x2
4x
2
3
8
4
1
:)C
+ 6)

Answer 1

To completely factor the quadratic expression 4x^2 + 12x - 72, you can use the method of factoring by grouping.

Step-by-step explanation:

To factor the quadratic expression 4x^2 + 12x - 72, we can use the method of factoring by grouping.

Step 1: Multiply the coefficient of the quadratic term and the constant term. In this case, it's 4 * -72 = -288.

Step 2: Find two numbers that multiply to give -288 and add to give the coefficient of the linear term, which is 12. The numbers are 24 and -12.

Step 3: Rewrite the linear term using these two numbers:

4x^2 + 24x - 12x - 72

Step 4: Factor by grouping:

(4x^2 + 24x) - (12x + 72)

Step 5: Factor out the common factors from each group:

4x(x + 6) - 12(x + 6)

Step 6: Combine the two parts using the common factor:

(4x - 12)(x + 6)

The completely factored form of the given quadratic expression is (4x - 12)(x + 6).