4
QuizMultiple Choice

Division of Polynomials

Question 4 • AZ-Common Core Algebra II A

What is the first step of the following division problem?(8x3 – x2 + 6x + 7) ÷ (2x – 1)

Answer
A
Divide 8x3 by 2x.
B
Divide 2x by 8x3.
C
Divide 6x by 2x.
D
Divide 2x by 6x.

Explanation

To begin polynomial long division, divide the leading term of the dividend by the leading term of the divisor. Here, those terms are 8x³ and 2x, so the first step is to divide 8x³ by 2x. The result, 4x², becomes the first term of the quotient.

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