Question

question
factor completely.
$-2x^2 - 26x + 28$

Explanation:

Step1: Factor out -2

First, we factor out the greatest common factor (GCF) of the three terms, which is -2.
$$-2x^2 - 26x + 28 = -2(x^2 + 13x - 14)$$

Step2: Factor the quadratic

Now we need to factor the quadratic expression \(x^2 + 13x - 14\). We look for two numbers that multiply to -14 and add up to 13. The numbers are 14 and -1.
$$x^2 + 13x - 14 = (x + 14)(x - 1)$$

Step3: Combine the factors

Putting it all together, we have:
$$-2x^2 - 26x + 28 = -2(x + 14)(x - 1)$$

Answer:

\(-2(x + 14)(x - 1)\)