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- 1. Multiple Choice
Which of the following is equivalent to the expression below?
(7a2 + 5a + 3) + (-3a2 + 2a - 4)
4a2 + 7a - 1
4a2 + 7a + 1
-4a2 + 7a - 1
-4a2 + 7a + 1
- 2. Multiple Choice
Simplify.
(x2 - 3x + 1) - (x2 + 2x + 7)
x - 6
-x + 8
-5x - 6
2x2 - x + 8
- 3. Multiple Choice
The sum of two binomials is 5x2 - 6x. If one of the binomials is 3x2 - 2x, what is the other binomial?
2x2 - 4x
2x2 - 8x
8x2 + 4x
8x2 - 8x
- 4. Multiple Choice
Simplify: 2x(x2 + 3xy + 6y2)
2x3 + 3xy + 6y2
2x3 + 6x2y + 12xy2
2x2 + 6xy + 12y2
2x2 + 6x2y + 12xy2
- 5. Multiple Choice
Which of the following is equivalent to the expression below?
-2a(3 - a)
-5a
-7a
-6a - 2a2
-6a + 2a2
- 6. Multiple Choice
Simplify: -2xy(-3xy2 + 4x2y)
-2x3y3
-14x3y3
-6x2y2 - 8x2y2
6x2y3 - 8x3y2
- 7. Multiple Choice
Simplify: (x + 7)(x - 4)
2x + 3
x2 - 28
x2 - 3x - 28
x2 + 3x - 28
- 8. Multiple Choice
Which polynomial is equivalent to
(2y - 3)2?
4y2 + 6y - 9
4y2 - 12y + 9
4y2 + 9
4y2 - 9
- 9. Multiple Choice
Which expression is equivalent to
(6y2 - 2)(6y + 2)?
36y2 - 4
36y3 - 4
36y2 + 12y2 + 12y - 4
36y3 + 12y2 - 12y - 4
- 10. Multiple Choice
Which expression is equivalent to
(x + 3)(3x2 - 4x - 5)?
3x3 + 5x2 - 17x - 15
3x3 + 9x2 - 13x - 15
3x3 + 9x2 - 5x - 15
3x3 + 13x2 - 17x - 15
- 11. Multiple Choice
Which polynomial represents
(3x2 + x - 4)(2x - 5)?
6x3 - 13x2 - 13x - 20
6x3 - 13x2 - 13x + 20
6x3 + 13x2 + 3x - 20
6x3 + 13x2 + 3x + 20
- 12. Multiple Choice
What is (5x3 - 2x)(3x2 + x - 8)?
5x3 + 3x2 - x - 8
15x5 - x4 - 42x3 + 16x
15x5 + 5x4 - 46x3 - 2x2 + 16x
15x6 - 35x3 - 6x2 + 14x
- 13. Multiple Choice
Which is a factor of x2 - 11x + 24?
x + 3
x - 3
x + 4
x - 4
- 14. Multiple Choice
Which of the following shows the expression below in factored form?
x2 + 2x - 8
(x - 2)(x + 4)
(x + 2)(x + 4)
(x - 1)(x + 8)
(x + 1)( x - 8)
- 15. Multiple Choice
Which binomial is a factor of (x3 - x2 + 3x - 3)?
x - 3
x + 1
x2 -1
x2 + 3
- 16. Multiple Choice
What is the complete factorization of the polynomial shown?
5x3 - 20x2 - 25x
x(5x2 - 20) - 25
5x(x + 5)(x - 1)
5x(x - 5)(x + 1)
x(5x2 - 20x - 25)
- 17. Multiple Choice
Which of the following is a factor of the polynomial shown below?
9x4 + 12x3y + 6x2
12y
3x2
6x2
3x3
- 18. Multiple Choice
Which is the factored form of
3a2 - 24ab + 48b2?
(3a - 8b)(a - 6b)
(3a - 16b)(a - 3b)
3(a - 4b)(a - 4b)
3(a - 8b)(a - 8b)
- 19. Multiple Choice
Which of the following shows
9t2 + 12t + 4
factored completely?
(3t + 2)2
(3t + 4)(3t + 1)
(9t + 4)(t + 1)
9t2 + 12 + 4t
- 20. Multiple Choice
Which of the following is equivalent to the expression below?
9x2 - 16
(3x - 4)2
(9x - 4)(9x + 4)
(3x - 8)(3x + 8)
(3x - 4)(3x + 4)
- 21. Multiple Choice
What is the factored form of x2 - 5x + 6?
(x + 6)(x - 1)
(x + 2)(x - 3)
(x + 1)(x - 6)
(x - 2)(x - 3)
- 22. Multiple Choice
Which binomial is a factor of
9x2 - 12x + 4?
3x + 4
3x + 2
3x + 1
3x - 2
- 23. Multiple Choice
Which expression is equivalent to t2 - 36?
(t - 6)(t - 6)
(t + 6)(t - 6)
(t - 12)(t - 3)
(t - 12)(t + 3)
- 24. Multiple Choice
Which of the following is one of the factors of the expression below?
4x2 - 25
4x - 5
2x + 1
4x - 1
2x - 5
- 25. Multiple Choice
Which of the following binomials is a factor of 4x2 - 16?
x - 2
2x + 8
x2 + 4
2x2 - 4
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