15
QuizMultiple Choice

Division of Polynomials — Quiz

Question 15 • Mathematics III

What is the first step of the following division problem? open paren 8 x cubed minus x squared plus 6 x plus 7 close paren divided by open paren 2 x minus 1 close paren

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

Explanation

In polynomial long division, start by dividing 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, which is choice D.

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