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Chapter 5: Polynomials & Polynomial Equations
  • 1. Factor.

    c3 + 27
A) (c + 3)(c + 3)(c + 3)
B) (c + 3)(c2 - 3c + 9)
C) (c + 9)(c + 3)
D) (3c+2)(c-6)
  • 2. Factor.

    x2 - 9
A) (x + 3)(x + 3)
B) (x - 3)(x + 3)
C) (x2 + 3) - 12
D) Simplest Form
  • 3. Collect like terms.

    6x2 - 7x2 + 3x2
A) -3x2
B) 2x2
C) 3x2
D) -2x2
  • 4. Collect like terms.

    5x - 4y - 2x + 5y
A) x + 3y
B) 3x + y
C) xy - 7xy
D) 7x + 9y
  • 5. Collect like terms.

    3a2b + 4b2 - 9a2b - 6b2
A) 7a2b3
B) -8a4b6
C) 6a2b + 2b2
D) -6a2b - 2b2
  • 6. Find the specified function value.

    P(x) = 4x2 - 3x + 2

    Find P(4)
A) 54
B) 72
C) 63
D) 45
  • 7. Find the specified function value.

    P(y) = 8y3 - 12y - 5

    Find P(-2)
A) 35
B) 45
C) -35
D) -45
  • 8. Add.

    (2x2 + x + 1) + (3x2 - 5x + 2)
A) 6x2 - 4x + 2
B) 6x2 - 5x + 2
C) 5x2 - 6x + 3
D) 5x2 - 4x + 3
  • 9. Add.

    (6x + 2y) + (4x - 8y)
A) 24x - 32y
B) 10x + 10y
C) 10x - 6y
D) 10x - 16y
  • 10. Subtract.

    (2x - 8) - (5x + 4)
A) 3x + 12
B) 10x - 32
C) -3x - 4
D) -3x - 12
  • 11. Subtract.

    (3a - 2b + c) - (4a + 5b + 6c)
A) a - 3b - 7c
B) -a - 7b - 5c
C) 7a + 3b + 6c
D) -12a -10b + 6c
  • 12. Multiply.

    (x - 9)(2x - 1)
A) 2x2 + 9
B) 2x2 + 19x + 9
C) 3x2 - 10
D) 2x2 - 19x + 9
  • 13. Multiply.

    (4x - 7)(2x + 1)
A) 8x2 - 14x - 7
B) 8x2 - 10x - 7
C) 6x2 - 7
D) 8x2 - 7
  • 14. Find.

    (-2x2y3)4
A) -16x6y12
B) 16x8 y12
C) -8x6y7
D) 8x6y3
  • 15. Multiply.

    (x - 3)(x2 + 4x - 6)
A) x3 + x2 + 18x + 18
B) x3 + x2 - 18x - 18
C) x3 - x2 + 18x - 18
D) x3 + x2 - 18x + 18
  • 16. Multiply.

    (3a2 + 2a - 1)(5a - 1)
A) 15a3 + 7a2 - 7a + 1
B) 15a3 + 7a2 - 10a + 1
C) 15a3 + 13a2 + 7a - 1
D) 15a3 - 13a2 - 10a - 1
  • 17. Find the additive inverse.

    -4y4+7y2-2y-1
A) 4y4-7y2+2y+1
B) -11y2+2y+1
C) -3y2+3y
D) y+1
  • 18. Factor out a common factor.

    10xy2 + 5x2
A) 5(22 + x )
B) 5x2(2y2 + 1)
C) 5x(2y2 + 1)
D) 5x(x + 2y2)
  • 19. Factor out a common factor.

    30x2 + 6xy – 6x
A) 6(5x2 + y )
B) 6x(5x + y )
C) 6x(5x + y – 1)
D) 6(5x2 + y – x )
  • 20. Factor the polynomial.

    2x3 + 4x2 + 8x
A) 2x3 + 4x2 + 8x
B) x(2x2 + 4x + 8)
C) 2x(x2 + 2x + 4)
D) 2x(x + 2)(x + 4)
  • 21. Factor the expression.

    4x2 – 81y2
A) (2x + 9y)(2x – 9y)
B) (2x + 9)(2x – 9)
C) (2x + 9y)2
D) (2x – 9y)2
  • 22. Factor the expression.

    49b2 – 36
A) (6b + 7)(6b – 7)
B) (7b + 6)(7b + 6)
C) (7b – 6)(7b – 6)
D) (7b + 6)(7b – 6)
  • 23. Factor.

    x2 + 8x + 15
A) (x + 5)(x + 3)
B) (x + 15)(x + 1)
C) (x - 5)(x - 3)
D) (x + 5)(x - 3)
  • 24. Factor.

    x3 + 125
A) 5x(x2 - 5x + 25)
B) x(x2 - 5x + 25)
C) 5(x2 - 5x + 25)
D) (x+5)(x2 - 5x + 25)
  • 25. Factor.

    y3 - 64
A) -4(y2 + 4y + 16)
B) (y+4)(y2 + 4y + 16)
C) (y-4)(y2 + 4y + 16)
D) y(y2 + 4y + 16)
  • 26. Factor.

    x2 - 4x - 12
A) (x + 4)(x - 3)
B) (x - 4)(x + 3)
C) (x - 6)(x + 2)
D) (x + 6)(x - 2)
  • 27. Factor.

    36x2 + 12x + 1
A) (x - 1)(x + 13)
B) (x + 1)(x - 13)
C) (6x +1)(6x - 1)
D) (6x + 1)2
  • 28. Factor Completely.

    15x3 + 10x2 – 20x
A) 5x(5x2 - 4)
B) 10x(5x3 - 10)
C) 10x(5x2 + x - 10)
D) 5x(3x2 + 2x - 4)
  • 29. Factor Completely.

    2t3 – 14t2 + 24t
A) 2t(t + 4)(t - 3)
B) 2t(t - 4)(t - 3)
C) (t + 4)(t -3 )
D) (t - 4)(t -3 )
  • 30. Factor Completely.

    8x + 32
A) 8(x + 4)
B) (x - 4)( x - 8)
C) Simplest Form
D) (x + 4)(x + 8)
  • 31. Solve.

    (3n − 2)(4n + 1) = 0
A) x = -1/4, 2/3
B) x = 1/4, -2/3
C) x = 2/3
D) x = -1/4
  • 32. Solve.

    5x2 - 20 = 0
A) x = -2, 3
B) x = -2, 2
C) x = 2, -3
D) x = -3, 3
  • 33. Solve.

    2x2 - 15x = -7
A) x = -1/2, 7
B) x = -1/2, -7
C) x = 1/2, 7
D) x = 1/2, -7
  • 34. Solve.

    x2 + 3x - 28 =0
A) x = 4, 7
B) x = -4, 7
C) x = -7, -4
D) x = -7, 4
  • 35. Solve.

    32 + 4x - x2 = 0
A) x = 4, 8
B) x = -4, 8
C) x = -8, 4
D) x = -8, -4
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