6. Factor the following COMPLETE LY. 28x^2+16x-80

Question

Answer 1

To factor the quadratic expression

completely, we can follow these steps:1. **Factor out the greatest common factor (GCF):** The GCF of

,

, and

is 4. So, we first factor out 4:

2. **Factor the quadratic expression inside the parentheses:** We need to factor

. To do this, we look for two numbers that multiply to \(7 \times (-20) = -140\) and add up to

. The pair of numbers that satisfy these conditions are

and

:

3. **Rewrite the middle term using these numbers:**

4. **Group the terms and factor by grouping:**

Factor out the common factors from each group:

5. **Factor out the common binomial factor \((x + 2)\):**

6. **Combine with the GCF factored out initially:**

So, the completely factored form of

is:

Question