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QuizMultiple Choice

Division of Polynomials — Quiz

Question 1 • Mathematics III

What is the quotient of open paren x cubed plus 6 x squared plus 11 x plus 6 close paren divided by open paren x squared plus 4 x plus 3 close paren ?

Answer
A
x plus 2
B
x plus 10
C
x plus 6
D
x minus 2

Explanation

Factor the numerator: x³ + 6x² + 11x + 6 = (x + 1)(x + 2)(x + 3). Factor the denominator: x² + 4x + 3 = (x + 1)(x + 3). Cancel the common factors, leaving x + 2, so the quotient is choice C, “x plus 2.”

AI-written and checked against the verified answer.

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