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(Factoring Algebraic Expressions MC)Factor −2x2 + 10x. −2x(x + 5) 2x(−x + 5) 2(−x2 + 10x) x(2x + 10)

Question

Factor the expression

2x2+10x-2x^2 + 10x
Options:

  1. 2x(x+5)-2x(x + 5)
  2. 2x(x+5)2x(-x + 5)
  3. 2(x2+10x)2(-x^2 + 10x)
  4. x(2x+10)x(2x + 10)
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Solution

The expression −2x^2 + 10x can be factored by taking out the common factor from both terms.

Step 1: Identify the common factor. In this case, the common factor is -2x.

Step 2: Divide each term in the original expression by the common factor.

-2x^2 / -2x = x 10x / -2x = -5

Step 3: Write the factored form. The factored form is the common factor times the result from step 2.

So, −2x^2 + 10x = -2x(x - 5)

Therefore, the correct answer is -2x(x - 5).

This problem has been solved

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