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Mathematics
10th -
12thgrade
Polynomial Long Division & Remainder Theorem
15 questions
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- 1. Multiple Choicex + 5 + (2/2x - 4)x - 8x - 5 + (3/2x - 4)x + 5
- 2. Multiple Choicex - 7x2 - 7x + 7x2 + 3x - 54
- 3. Multiple Choice2x3 - 5x2 + 3x + 7 ÷ x - 22x3 - x2 + x + 92x2 - x + 12x2 - x + 1 + 9/x-22x2 - 9x - 15 - 23/x-2
- 4. Multiple Choice3x3 + 5x - 1 ÷
x + 13x3 - 3x2 + 8x - 93x2 - 3x + 8 - 9/x+13x2 + 3x + 8 + 7/x+13x3 + 3x2 + 8x + 7 - 5. Multiple Choice2x3 - 5x - 7 ÷
x - 22x3 - 4x2 + 3x - 132x3 + 4x2 +3x - 12x2 - 4x + 3 - 13/x-22x2 + 4x + 3 - 1/x-2 - 6. Multiple ChoiceWhat is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x3 - 5x2 + 2x - 1002x-10-2x-102x+10 - 7. Multiple ChoiceDecide if (x-3) is a factor of 3x3+10x2-x-12Yes, it is a factor!No, it is not a factor!
- 8. Multiple ChoiceIs (x-3) a factor of
(x3 - 3x2 + 2x + 2)?YesNo - 9. Multiple ChoiceFind all the factors of x3 -3x2 -4x +12 given that -2 is a zero.(x-2) (x+2) (x+3)(x-2) (x-2) (x+3)(x+2) (x+2) (x+3)(x-2) (x+2) (x-3)
- 10. Multiple ChoiceWhat is the remainder when a3 - 4 is divided by a+2?-2-6-120
- 11. Multiple ChoiceFind all the zeros, given that f(-3) = 0
f(x) = 2x3+5x2-6x-9-1,-3,-3-1,-3,3/23,3,3-3,2/3,-1 - 12. Multiple ChoiceWhat are the three factors for
(x3 +7x2 +7x -15) ÷ (x -1)?(x-1) (x+5) (x-3)(x-1) (x+5) (x + 3)(x+1) (x+5) (x-3)(x+1) (x-5) (x-3) - 13. Multiple ChoiceWhat is the remainder of (3x3 -5x2 -4x +1) ÷ (x + 3)?-2525113-113
- 14. Multiple ChoiceFind all the real zeros of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that x-4 is a factor.x = 1/2, -6x = -1/2, 6x = 4, -1/2, 6x = -4, 1/2, -6 - 15. Multiple ChoiceIf 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?0-395
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