4
lesson pretestMultiple Choice

Pretest

Question 4 • Algebra 1

Divide 2 x squared plus 7 x minus 3 by 2 x plus 5 Which expression represents the quotient and remainder?

Answer
A
x plus 1 plus the fraction with numerator 2 and denominator 2 x plus 5
B
x plus 1 minus the fraction with numerator 33 and denominator 2 x plus 5
C
x plus 1 minus the fraction with numerator 8 and denominator 2 x plus 5
D
x plus 1 plus the fraction with numerator 27 and denominator 2 x plus 5

Explanation

Dividing the leading terms, 2x² ÷ 2x gives x. Subtracting x(2x + 5) leaves 2x − 3; then 2x ÷ 2x gives 1, and subtracting 2x + 5 leaves a remainder of −8. So the quotient-and-remainder expression is x + 1 − 8/(2x + 5), which is choice C.

AI-written and checked against the verified answer.

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