(Factoring Algebraic Expressions MC)Factor −2x2 + 10x. −2x(x + 5) 2x(−x + 5) 2(−x2 + 10x) x(2x + 10)
Question
Factor the expression
Options:
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).
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