Lesson 5: Division of Polynomials Answers
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1
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The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
A
x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
B
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
C
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
D
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
2
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What is the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1)?
A
x2 – 2x – 3B
x2 + 2x + 7C
x2 – 3x + 8D
x2 – 2x + 33
What is the first step of the following division problem?(8x3 – x2 + 6x + 7) ÷ (2x – 1)
A
Divide 8x3 by 2x.B
Divide 2x by 8x3.C
Divide 6x by 2x.D
Divide 2x by 6x.4
Amal used the tabular method to show her work dividing –2x3 + 11x2 – 23x + 20 by x2 – 3x + 4. Amal’s Work: Quotient 2x+ 5 Divisorx2–2x35x26x2 + 5x2 = 11x2– 3x6x2–15x–8x + (–15x) = –23x + 4–8x20 Amal’s answer:Which statement about Amal’s work is true?
A
Amal’s work is correct.B
Amal’s work is incorrect the wrong divisor is on the right side of the division table.C
Amal’s work is incorrect because it includes a positive two instead of negative two in the answer.D
Amal’s work is incorrect because the like terms in the division table do not simplify to the original polynomial.Did you find these answers helpful?
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