College Algebra CLEP Prep Practice Exam

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Factor the expression x2 + 7x + 10

(x + 2)(x + 5)
(x + 2)(x + 10)
(x + 5)(x + 10)
(x – 2)(x – 5)

The correct answer is: (x + 2)(x + 5)

When we are asked to factor an expression, we are looking for values that when multiplied together equal the original expression. In this case, we need to find two numbers that when multiplied, equal 10, and when added, equal 7. The only pair of numbers that satisfy these conditions are 2 and 5. Therefore, the correct factored form is (x + 2)(x + 5). Option B and C are incorrect because they do not result in the correct factors when expanded back out. Option D is also incorrect because the signs are not consistent with the factors (x - 2)(x - 5) would result in x2 - 7x + 10.