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Other, Mathematics
11th -
12thgrade
Remainder and Rational Root Theorem
12 questions
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- 1. Multiple ChoiceIs (x-4) a factor of (x3 +x2 -16x-16)?YESNO
- 2. Multiple ChoiceIs (x-3) a factor of
(x3 - 3x2 + 2x + 2)?YesNo - 3. Multiple Choice
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
2x3 - x2 + x + 9
2x2 - x + 1
2x2 - x + 1 + 9/(x-2)
2x2 - 9x - 15 - 23/(x-2)
- 4. Multiple Choice
What is the remainder when x3 - 4 is divided by x+2?
-2
-6
-12
0
- 5. Multiple Choice
State the roots of the polynomial: x3 + 11x2 + 24x.
8, 3
-8, -3
0, 8, 3
0, -8, -3
- 6. Multiple Choice
State the roots of the polynomial: x3 - 4x2 - 45x.
0, 9, 5
0, 9, -5
0, -9, 5
0, -9, -5
- 7. Multiple ChoiceFactor:
x3-12x2+47x-60=0 when 5 is a root.(x-3)(x-4)(x-5)=0(x+1)(x-4)(x-5)=0(x-3)(x-4)(2x-5)=0(x-5)(x-4)(x-5)=0 - 8. Multiple ChoiceHow could you determine if x-2 is a factor of 2x³-5x²+x-2?Use synthetic division and see if the quotient is evenAsk the person sitting next to meUse synthetic division and see if the remainder is zeroFlip a coin
- 9. Multiple Choice
Find all the real zeros of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.
x = 1/2, -6
x = -1/2, 6
x = 4, -1/2, 6
x = -4, 1/2, -6
- 10. Multiple Choice
Find all roots of the polynomial:
x3 + 3x2 - 6x - 8 = 0
-4, -1, 2
-4, -1, ±√2
1, 2, 4
4,-1,√2
- 11. Multiple Choice
Find all roots of the polynomial.
x3 - 7x - 6 = 0
1, 2, 3
-1, -2, - 3
-1, -2, 3
1,-2,-3
- 12. Multiple Choice
Find all roots of the polynomial:
2x3 - 11x2 + 12x + 9 = 0
-1, 1, 3
-1, 3/2, 3
-1/2, 3, 3
-1/2, 1, 3
- Answer choicesTagsAnswer choicesTags