Name: ________________________ Class: ___________________ Date: __________
Dividing Polynomials Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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1. Divide 3x 3 − 3x 2 − 4x + 3 by x + 3.
a. 3x 2 − 12x + 32
b. 3x 2 − 12x + 32, R –93
c.
d.
3x 2 + 6x − 40
3x 2 + 6x − 40, R 99
2. Determine which binomial is a factor of −2x 3 + 14x 2 − 24x + 20.
a. x + 5
b. x + 20
c. x – 24
3. Divide: (x 4 + 15x 3 − 77x 2 + 13x − 36) ÷ (x − 4)
a. x 3 − 23x 2 − 75x − 5
c.
b. x 3 + 15x 2 − 23x − 5
d.
x 3 − x 2 + 9x + 19
x 3 + 19x 2 − x + 9
4. Divide: (x 3 + 4 − 11x + 3x 2 ) ÷ (6 + x)
a. x 2 − 5x, R 70
b. x 2 − 5x, R –62
x 2 − 3x + 7, R 46
x 2 − 3x + 7, R –38
c.
d.
d.
x–5
Short Answer
5. The volume in cubic feet of a workshop’s storage chest can be expressed as the product of its three
dimensions: V(x) = x 3 − 3x 2 − x + 3. The depth is x + 1.
a. Find linear expressions with integer coefficients for the other dimensions.
b. If the depth of the chest is 6 feet, what are the other dimensions?
1
ID: A