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Polynomials

1. Find the specified function value. If P(x) = 4x^2 - 2x - 3, find P(-3).
A. -6
B. -45
C. -21
D. 39

2. Find the specified function value. If P(x) = 2x^2 + 6x and Q(y) = -3y^2 + 4y + 1, find P(1) + Q(1).
A. 8
B. 10
C. 2
D. 16

3. Perform the indicated operation.(v to the third power + 2v to the second power +3v-2) -(7v-6v to the third power -9)

A. -5v^3 + 2v^2 + 10v - 11
B. -6v^3 + 2v^2 + 9v + 7
C. 7v^3 - 5v^2 + 3v + 7
D. 7v^3 + 2v^2 - 4v + 7

4. Do the indicated multiplication.-7x to the second power (2x to the second power-3x+5)
A. 14x^4 - 21x^3 + 35x^2
B. -14x^4 + 21x^3 - 35x^2
C. -14x^2 + 21x - 35
D. -5x^4 - 10x^3 - 2x^2

5. Do the indicated multiplication. (4x-4y)(x+9y)
A. 4x^2 - 36y^2
B. 4x^2 + 32x - 36y^2
C. 4x^2 + 32xy + 36y^2
D. 4x^2 + 32xy - 36y^2

6. Use special products to do the indicated multiplication. (3a-2b)to the 2nd power
A. 9a^2 + 4b^2
B. 9a^2 - 6ab + 4b^2
C. 9a^2 + 12ab + 4b^2
D. 9a^2 - 12ab + 4b^2

7. Use special products to do the indicated multiplication.(7a+3b)(7a-3b)
A. 49a^2 - 42ab - 9b^2
B. 49a^2 - 42ab + 9b^2
C. 49a^2 + 9b^2
D. 49a^2 - 9b^2

8. Factor completely:20x - 80
A. 20 (x-80)
B. -20 (x+4)
C. 20 (x-4)
D. 20 (x+4)

9. Factor completely:-7x^2 + 42x
A. -7 (x-6)
B. x (-7x-6)
C. -7x (x-6)
D. -7x (x+6)

10. Factor completely: (y+1) (y-1) + (3y-5) (y-1)
A. (y-1) (3y -5) (y+1)
B. (3y-1) (y-4)
C. (y-5) (3y +0)
D. (y-1) (4y-4)

11. Factor completely:a^2 + 10 - 7a
A. (a-5) (a+2)
B. (a +10) (a-7)
C. (a+5) (a-2)
D. (a-5) (a-2)

12. Factor completely:5x^2 + 31x + 6
A. (5x+1) (x+6)
B. (5x-1) (x+6)
C. (5x +6) (x+1)
D. (5x+6) (x+1)

13. Factor completely:49a^2 - 28a + 4

14. Factor completely:x^2 - 9

15. Factor completely:81a^2 - 16b^2

16. Solve the equation:(y-8) (y-6) (y+4)
A. y = -8, y = -6 or y = 4
B. y = 8, y = 6 or y = -4
C. y = -8, y = 6 or y = 4
D. y = 8, y = 6 or y = 4

17. Solve the equation: x^2 + 4x = 0
A. x = 0 or x = -4
B. x = 4
C. x = 4 or x = -4
D. x = 0 or x = 4

18. Solve the equation: (9y-7) (y+2) = 12y -14
A. y = 0 or
B. y = 0 or
C. y = 0 or y = 9
D. y= 7/9 or y = -2

19. The distance traveled h (in meters) by an object thrown downward after t seconds is given by h = 5t^2 + V[0]t where V[0] is the initial downward speed (in meters per second, m/s). If an object is thrown downward with an initial speed of 15 m/s from a height of 50 meters, how long does it take the object to hit the ground?
A. 10 seconds
B. -2 seconds
C. 2 seconds
D. 5 seconds

20. The cost C(x) of serving x customers is given by C (x) = 6x(2nd power) +30x +1177 dollars. If $2077 is spent serving customers, how many customers are served?
A. 15
B. 10
C. -10
D. 900

Solution Summary

Twenty problems spanning polynomials and linear equations are solved. The solution is detailed and well presented.

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