A) (5x-8y)3
B) (5x-4y)(25x2-20xy+16y2)
C) (5x-4y)(25x2+20xy+16y2)
D) (5x+4y)(25x2+20xy+16y2)
- 2. What are all the rational zeros pf f(x)=x3-7x-6?
A) -3,-1,2
B) -3,1,2
C) none
D) 3,-1,-2
- 3. How many turning points does the function f(x)=-4x3+15x2-8x-3 have?
A) 2
B) 4
C) 3
D) 1
- 4. Use synthetic substitution to evaluate f(x)=7x3+3x2-7x+3 when x=3.
A) 216
B) 195
C) 63
D) 198
- 5. Find the sum or difference: (5h3+8h-9)-(6h3+6h-4)
A) -h3+2h-5
B) -h3+14h-13
C) -h3-2h-5
D) -h3+2h-13
- 6. Find the real-number solutions of the equation. p3-4p2=0
A) 0,4
B) -4,4
C) 4,-5
D) 0,-4
- 7. Find the real-number solutions for x3+6x2+12x= -8
A) 0,2
B) 0,-2
C) -2,2
D) -2
- 8. Find the missing term: (x+3)2 = x2+6x+___
A) 6
B) 12
C) 3
D) 9
- 9. A rectangle has a length of x-6 and a width of x-7. Which equation below describes the perimeter, P, of the rectangle in terms of x? The formula for P=2L+2W.
A) P=x-13
B) P=4x-26
C) P=2x-13
D) P=x2-13x+42
- 10. Factor Completely 5x3+5x2+30x
A) x(5x2+5x+30)
B) 5(x3+x2+6x)
C) 5x(x2+x+6)
D) 5x(x+1)(x+6)
- 11. Divide (v3-216) / (v-6)
A) v2-36
B) v2+36
C) v2-6v+36
D) v2+6v+36
- 12. Divide (-2x3+3x+4) / (x-2)
A) -2x2-x+2+4/x-2
B) -2x2-x+2 +8/x-2
C) -2x2-4x-5 - 6/x-2
D) -2x2-4x+11-29/x-2
- 13. List the possible zeros of the function using the rational zeros theorem. g(x)=x5-4x3+2x+12
A) -4,1,2,12
B) 1,2,3,4,6,12
C) 1,2,4,12,-1,-2,-4,-12
D) 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12
- 14. Write a polynomial function that has the zeros 4,2, and 1 and has a leading coefficient of 1.
A) x2-x-2
B) -4x2-2x-1
C) x3-7x2+14x-8
D) -x3+7x2-14x-9
- 15. Describe the end behavior of the function f(x)=3x3+4x4-2x2-5
A) x approaches +00 y approaches -00 , x approaches -00 y approaches +00
B) x approaches +00 y approaches +00, x approaches -00 y approaches -00
C) x->+00, y->+00 and x->-00 y->+00
D) x approaches +00 y approaches -00, x approaches-00 y approaches -00
- 16. How many zeros does the function f(x)=x3-7x2+7x+15 have?
A) 3 imaginary
B) 3 rational
C) none
D) 2real, 1 imaginary
- 17. Describe how to factor x3 +8 completely.
- 18. Describe how to factor completely x2-36.
- 19. Solve the polynomial equation 3x5+6x4-72x3=0 by factoring.
A) 0,6,-4
B) -18,12
C) 0,-6,4
D) -6,4
- 20. Indentify the roots of -3x3-21x2+72x+540=0. State the multiplicity of each root.
A) The root -5 has a multiplicity of 1, and the root 6 has a multiplicity of 2
B) The root 5 has a multiplicity of 1, and the root -6 has a multiplicity of 2.
C) The root 5 has a multiplicity of 1, and the root 6 has a multiplicity of 2.
D) The root -5 has a multiplicity of 1, and the root -6 has a multiplicity of 2
- 21. A jewelry box has a length that is 2 inches longer than the width and a height that is 1 inch smaller than the width. The volume of the box is 140 cubic inches. What is the width of the jewelry box?
A) 4 in.
B) 6 in.
C) 2 in.
D) 5 in.
- 22. What is the third term of the expansion of (g2-2g)4?
A) 4g6
B) 24g4
C) 24g6
D) 6g4
- 23. Multiply: (-2z-z2)(4z2-2z3+z4)
A) -4z4+2z5-z6
B) -8z3-z6
C) 4z3+6z4-3z5
D) -8z3+4z4-2z5
- 24. Which binomial is a factor of 2x4-11x3+19x2-13x+3?
A) x-3
B) x+2
C) x+1
D) x-2
- 25. Which polynomial equation has roots of 0 and 3?
A) x2-6x+9
B) x3-6x2+9x
C) x2+3x
D) x3-8x2+16x
- 26. What is the leading coefficient for f(x)- 2x5 - 6x3+x2 - 2
A) -2
B) -5
C) 5
D) 2
- 27. What is the degree for f(x)- 2x5 - 6x3+x2 - 2
A) 5
B) x5
C) 11
D) 10
- 28. Determine whether (x-4) is a factor of the polynomial x2+8x-48
A) no
B) yes
- 29. Solve the equation x4 +4X3+4x2+64x-192=0
- 30. Identify the degree of each monomial 3p3m4
A) 7
B) 3
C) 0
D) 4
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