9
QuizMultiple Choice

Division of Polynomials — Quiz

Question 9 • Mathematics III

What is the quotient of open paren x cubed minus 3 x squared plus 5 x minus 3 close paren divided by open paren x minus 1 close paren ?

Answer
A
x squared minus 2 x plus 3
B
x squared plus 2 x plus 7
C
x squared minus 2 x minus 3
D
x squared minus 3 x plus 8

Explanation

Divide by x − 1 using synthetic division with 1: the coefficients 1, −3, 5, −3 produce quotient coefficients 1, −2, 3 and remainder 0. Therefore, the quotient is x² − 2x + 3, choice B.

AI-written and checked against the verified answer.

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