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Mathematics
9th -
11thgrade
Polynomial Division & Factor & Remainder Theorems
11 questions
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- 1. Multiple ChoiceWhich binomial is a factor of
f(x)= x3 + x2 -24x +36?x + 2x + 3x + 6x + 9 - 2. Multiple ChoiceWhen p(x) = 9x4- 45x3 + 37x2 + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?p(2) = 656p(2) = 652p(2) = -64p(2) = -368
- 3. Multiple Choice
Is (x + 2) a factor of the polynomial:
x4 + x3 - 2x2 + 3x + 7, and what was the remainder?
no, R=1
yes, R=0
no, R=29
yes, R=5
- 4. Multiple Choice
If dividing polynomial g(x) by (x – 1) yields a remainder of 2, which must be true?
g(1) = 2
g(-1) = 2
g(2) = 1
g(2) = -1
- 5. Multiple ChoiceWhat is the remainder when a3 - 4 is divided by a+2?-2-6-120
- 6. Multiple Choice
Use synthetic substitution to find g(-4) for g(x) = 2x4 + 7x3 - 6x2 + 20
884
28
-12
236
- 7. Multiple ChoiceWhat are the three factors for
(x3 -3x2 -4x +12) ÷ (x + 2)?(x-2) (x+2) (x+3)(x-2) (x-2) (x+3)(x+2) (x+2) (x+3)(x-2) (x+2) (x-3) - 8. Multiple ChoiceWhat should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)3 0 -4 6 16 -4 3 1 06 -4 0 3 1-6 4 0 -3 -1 - 9. Multiple Choice
p(x) be a polynomial such that
p(x) = g(x). q(x) +r(x) .Degree of p(x) =
Degree of g(x).degree of q(x)
Degree of r(x) +degree of g(x)
Degree of q(x) + degree of r(x)
Degree of g(x) + degree of q(x)
- 10. Multiple ChoiceIs this division problem worked correctly?This is correct!This is incorrect!
- 11. Multiple Choice
(3x3 + 5x - 1) ÷ (x + 1)
3x3 - 3x2 + 8x - 9
3x3 + 3x2 + 8x + 7
- Answer choicesTagsAnswer choicesTags