Question

Factor −2x2 +10x.

A) −2x(x+5)
B) 2x(−x+5)
C) 2(−x2 +10x)
D) x(2x−10)

Answer 1

To factor −2x^2 +10x, we find the GCF which is −2x, and factor it out to get −2x(x + 5), corresponding to option A.

Step-by-step explanation:

To factor the expression −2x2 +10x, we look for the greatest common factor (GCF) that can be factored out of both terms in the quadratic expression.

Both terms have a factor of −2x. We can factor out −2x as the GCF:

1. Identify the GCF: −2x.
2. Write the given expression as a product of the GCF and the remaining factors: −2x(−2x * x + −2x * −5).
3. Simplify the expression inside the parentheses: −2x * x = x2 and −2x * −5 = −10.
4. The factored form is then −2x(x + 5).

The answer is Option A: −2x(x + 5).