9th
-
12th
grade

Mathematics

71%

accuracy

185

plays

Michele Pierce

4 years

Mathematics

9th -

12thgrade

Polynomial Division and Remainder Theorem

Michele Pierce

185
plays

21 questions

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1. Multiple Choice
15 minutes
1 pt
(2x³ + 5x² + 9) ÷ (x + 3)
2x² - x + 3
2x³ - x² + 3x
2x² + 11x + 33 + 108/x+3
2x² - 5x + 12
2. Multiple Choice
15 minutes
12 pts
(3x³ + 5x - 1) ÷ (x + 1)
3x³ - 3x² + 8x - 9
3x² - 3x + 8 - 9/x+1
3x² + 3x + 8 + 7/x+1
3x³ + 3x² + 8x + 7
3. Multiple Choice
15 minutes
1 pt
(3x³ - 2x² - 7x + 6) ÷ (x + 1)
3x³ - 5x² - 2x + 8
3x² + x - 6
3x² - 5x - 2 + 8/x+1
3x³ + x² - 6x
4. Multiple Choice
15 minutes
1 pt
What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)
3 0 -4 6 1
6 -4 3 1 0
6 -4 0 3 1
-6 4 0 -3 -1
5. Multiple Choice
15 minutes
1 pt
If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?
0
2
4
6
6. Multiple Choice
15 minutes
12 pts
For synthetic division, what would be the number in the left hand box?
0
1
2
3
7. Multiple Choice
15 minutes
12 pts
(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
8. Multiple Choice
15 minutes
1 pt
(3x³ + 5x - 1) ÷ (x + 1)
3x³ - 3x² + 8x - 9
3x² - 3x + 8 - 9/x+1
3x² + 3x + 8 + 7/x+1
3x³ + 3x² + 8x + 7
9. Multiple Choice
15 minutes
1 pt
(2x³ + 7x² - 6x - 8) ÷ (x + 4)
2x² - x - 2
2x³ - x² - 2x
2x² + 15x + 54 + 208/x+4
2x³ + 15x² + 54x + 208
10. Multiple Choice
15 minutes
12 pts
(2x³ + 5x² + 9) ÷ (x + 3)
2x² - x + 3
2x³ - x² + 3x
2x² + 11x + 33 + 108/x+3
2x² - 5x + 12
11. Multiple Choice
3 minutes
1 pt
Is this division problem worked correctly?
This is correct!
This is incorrect!
12. Multiple Choice
3 minutes
1 pt
Is (x-2) a factor of f(x)= x³-8x²+14x-4?
Yes, (x-2) is a factor. There is a remainder.
No, (x-2) is not a factor. The remainder is zero.
Yes, (x-2) is a factor. The remainder is zero.
No, (x-2) is not a factor. There is a remainder.
13. Multiple Choice
15 minutes
1 pt
What is the remainder when a³ - 4 is divided by a+2?
-2
-6
-12
0
14. Multiple Choice
30 seconds
1 pt
$\left(x^3+6x^2+11x+16\right)\div\left(x+1\right)$
$x^2+5x+16$
$x^{2\ }+5x+6+\frac{10}{x+1}$
$x^{2\ }+5x+6+\frac{10}{x^3+6x^2+11x+16}$
15. Multiple Choice
30 seconds
1 pt
Divide:
$\frac{2x^3-5x^2-6x+4}{2x^2+x}$
$x-3+\frac{-9x-4}{2x^2+x}$
$x-3+\frac{-3x+4}{2x^2+x}$
$x-5+\frac{-x+4}{2x^2+x}$
$x-5+\frac{-11x-4}{2x^2+x}$
16. Multiple Choice
2 minutes
1 pt
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10
0
2x-10
-2x-10
2x+10
17. Multiple Choice
2 minutes
1 pt
What is the remainder R when the polynomial p(x) is divided by (x-5)?
p(x) = x³- 5x²+ 2x - 10
0
2x-10
-2x-10
2x+10
18. Multiple Choice
5 minutes
1 pt
What is the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?
-25
25
113
-113
19. Multiple Choice
3 minutes
1 pt
Which statement is true?
(x-3) is a factor of (x³- 3x²+ 2x + 2)
(x-3) is not a factor of (x³- 3x²+ 2x + 2)
The remainder when (x³- 3x²+ 2x + 2) is divided by (x-3) is zero.
The remainder when (x³- 3x²+ 2x + 2) is divided by (x-3) is not zero. The remainder is 17.
20. Multiple Choice
15 minutes
1 pt
If (2x²+10) is divided by (x -1), then what is the remainder?
12
0
-12
8
21. Multiple Choice
30 seconds
1 pt
The expression x³ ─ kx² +2x +5 leaves a remainder of 2 when divided by x ─ 3. Find the value of k.
4
-4
8
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Polynomial Division and Remainder Theore...

9th
-
12th
grade

Mathematics

Mathematics

9th -

12thgrade

Polynomial Division and Remainder Theorem

185
plays

21 questions

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