7
lesson pretestMultiple Choice

Pretest

Question 7 • Algebra 1

What is the quotient? x minus 3 longdiv 4 x squared plus 3 x plus 2

Answer
A
4 x squared plus 15 plus the fraction with numerator 47 and denominator x minus 3
B
4 x plus 15 plus the fraction with numerator 43 and denominator x minus 3
C
4 x plus 15 plus the fraction with numerator 47 and denominator x minus 3
D
4 x squared plus 15 plus the fraction with numerator 43 and denominator x minus 3

Explanation

Divide the leading terms: 4x² ÷ x = 4x. Subtracting 4x(x − 3) leaves 15x + 2; then 15x ÷ x = 15. Subtracting 15(x − 3) leaves a remainder of 47, so the quotient is 4x + 15 + 47/(x − 3), choice C.

AI-written and checked against the verified answer.

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