6
QuizMultiple Choice

Polynomial Expressions — Test

Question 6 • Algebra 1

What is the quotient? x minus 1 longdiv 7 x squared minus 3 x minus 9

Answer
A
7 x plus 4 minus the fraction with numerator 13 and denominator x minus 1
B
7 x minus 10 minus the fraction with numerator 19 and denominator x minus 1
C
7 x plus 4 minus the fraction with numerator 5 and denominator x minus 1
D
7 x minus 10 plus the fraction with numerator 1 and denominator x minus 1

Explanation

Divide 7x² − 3x − 9 by x − 1. Using 1 as the synthetic divisor value, the quotient coefficients are 7 and 4, and the remainder is −5. Thus the result is 7x + 4 − 5/(x − 1), which matches choice C.

AI-written and checked against the verified answer.

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