16
QuizMultiple Choice

Polynomial Expressions — Test

Question 16 • Algebra 1

What is the quotient? x plus 1 longdiv 3 x squared minus 2 x plus 7

Answer
A
3 x minus 5 plus the fraction with numerator 2 and denominator x plus 1
B
3 x plus 5 plus the fraction with numerator 12 and denominator x plus 1
C
3 x plus 5 plus the fraction with numerator 2 and denominator x plus 1
D
3 x minus 5 plus the fraction with numerator 12 and denominator x plus 1

Explanation

Divide 3x² − 2x + 7 by x + 1. The first term is 3x, and subtracting 3x(x + 1) leaves −5x + 7; then subtracting −5(x + 1) leaves a remainder of 12. So the result is 3x − 5 + 12/(x + 1), which is choice D.

AI-written and checked against the verified answer.

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