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Question 3 • Algebra 1

Fiona divided 3 x squared plus 5 x minus 3 by 3 x plus 2 The expression the fraction with numerator A and denominator 3 x plus 2 represents the remainder over the divisor. x plus 1 plus the fraction with numerator A and denominator 3 x plus 2 What is the value of A ?

Answer
A
negative 1
B
1
C
negative 5
D
5

Explanation

Multiply the divisor by the stated quotient: (3x + 2)(x + 1) = 3x² + 5x + 2. Subtract this from the dividend, 3x² + 5x − 3, to get the remainder −5. Therefore A = −5, choice C.

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