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Rewrite the quadratic function in standard form by completing the square. Rewrite the quadratic function in standard form by completing the square.

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Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors. Given a zero of the polynomial, determine all other zeros (real and complex) and write the polynomial in terms of a product of linear factors.

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Find all zeros (real and complex). Factor the polynomial as a product of linear factors. Find all zeros (real and complex). Factor the polynomial as a product of linear factors.

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x = -10 ± ...

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Graph the quadratic function. y = Graph the quadratic function. y = - 1 - 1 Graph the quadratic function. y = - 1

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Rewrite the quadratic function in standard form by completing the square. Rewrite the quadratic function in standard form by completing the square. A) B) C) D)


A) Rewrite the quadratic function in standard form by completing the square. A) B) C) D)
B) Rewrite the quadratic function in standard form by completing the square. A) B) C) D)
C) Rewrite the quadratic function in standard form by completing the square. A) B) C) D)
D) Rewrite the quadratic function in standard form by completing the square. A) B) C) D)

E) B) and D)
F) A) and C)

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Determine if the function is a polynomial. Determine if the function is a polynomial. If it is, state the degree. A) Not a polynomial B) a polynomial of degree 21 C) a polynomial of degree 42 D) a polynomial of degree 4 If it is, state the degree.


A) Not a polynomial
B) a polynomial of degree 21
C) a polynomial of degree 42
D) a polynomial of degree 4

E) A) and B)
F) B) and C)

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Graph the quadratic function. y = Graph the quadratic function. y = + 2x + 4 + 2x + 4 Graph the quadratic function. y = + 2x + 4

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Determine whether the number 2 is a zero of f (x) = Determine whether the number 2 is a zero of f (x) = + 5 - 22x + 16. If it is, find the other real zeros. A) 2 is not a zero. B) 2 is a zero and the others are 1 and -8. C) 2 is a zero and the others are -1 and 8. D) 2 is a zero and there are no other real zeros. + 5 Determine whether the number 2 is a zero of f (x) = + 5 - 22x + 16. If it is, find the other real zeros. A) 2 is not a zero. B) 2 is a zero and the others are 1 and -8. C) 2 is a zero and the others are -1 and 8. D) 2 is a zero and there are no other real zeros. - 22x + 16. If it is, find the other real zeros.


A) 2 is not a zero.
B) 2 is a zero and the others are 1 and -8.
C) 2 is a zero and the others are -1 and 8.
D) 2 is a zero and there are no other real zeros.

E) A) and B)
F) All of the above

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Find the vertex of the parabola associated with the quadratic function. Y = Find the vertex of the parabola associated with the quadratic function. Y = + 6x + 22 A) (3, -13) B) (-3, -13) C) (-3, 13) D) (3, 13) + 6x + 22


A) (3, -13)
B) (-3, -13)
C) (-3, 13)
D) (3, 13)

E) B) and C)
F) None of the above

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A rancher has 3000 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?


A) 187,500 square feet
B) 15,000 square feet
C) 375,000 square feet
D) 360,000 square feet

E) A) and B)
F) None of the above

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For the rational function f (x) = For the rational function f (x) = , find all vertical and horizontal asymptotes. A) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = 2 B) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = C) no vertical asymptotes, horizontal asymptote y = 2 D) vertical asymptotes x = 1 and x = 7, horizontal asymptote y = , find all vertical and horizontal asymptotes.


A) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = 2
B) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = For the rational function f (x) = , find all vertical and horizontal asymptotes. A) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = 2 B) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = C) no vertical asymptotes, horizontal asymptote y = 2 D) vertical asymptotes x = 1 and x = 7, horizontal asymptote y =
C) no vertical asymptotes, horizontal asymptote y = 2
D) vertical asymptotes x = 1 and x = 7, horizontal asymptote y = For the rational function f (x) = , find all vertical and horizontal asymptotes. A) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = 2 B) vertical asymptotes x = -1 and x = -7, horizontal asymptote y = C) no vertical asymptotes, horizontal asymptote y = 2 D) vertical asymptotes x = 1 and x = 7, horizontal asymptote y =

E) B) and D)
F) B) and C)

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Use the rational zero theorem to list the possible rational zeros. Use the rational zero theorem to list the possible rational zeros. A) {±1, ±1/11, ±7/11} B) {±1, ±11, ±7, ±77} C) {±1, ±11, ±7, ±77, ±1/11, ±7/11} D) {±1, ±11, ±7}


A) {±1, ±1/11, ±7/11}
B) {±1, ±11, ±7, ±77}
C) {±1, ±11, ±7, ±77, ±1/11, ±7/11}
D) {±1, ±11, ±7}

E) B) and D)
F) All of the above

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Find all the real zeros (and state their multiplicity) of the polynomial function. Find all the real zeros (and state their multiplicity) of the polynomial function. A) 0, 8 B) 0 (multiplicity 4) , 8 (multiplicity 2) C) 8 (multiplicity 2) D) 0 (multiplicity 6) , 8 (multiplicity 2)


A) 0, 8
B) 0 (multiplicity 4) , 8 (multiplicity 2)
C) 8 (multiplicity 2)
D) 0 (multiplicity 6) , 8 (multiplicity 2)

E) C) and D)
F) A) and C)

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Find the standard form of the equation of a parabola whose vertex is (5, 10) and passes through the point (3, 30).

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Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3) .


A) Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3) . A) B) C) D)
B) Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3) . A) B) C) D)
C) Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3) . A) B) C) D)
D) Find the general form of the equation of a parabola whose vertex is (2, 1.5) and passes through the point (1, 0.3) . A) B) C) D)

E) A) and D)
F) B) and C)

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Find the domain of the rational function f (x) = Find the domain of the rational function f (x) = . A) (-?, -2) ? (-2, ?) B) [25, ?) C) (-?, 2] ? [2, ?) D) (-?, 2) ? (2, ?) .


A) (-?, -2) ? (-2, ?)
B) [25, ?)
C) (-?, 2] ? [2, ?)
D) (-?, 2) ? (2, ?)

E) A) and C)
F) A) and B)

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Find the domain of the rational function. F (x) = Find the domain of the rational function. F (x) = A) (-?, -8) ? (8, ?) B) (-?, -8) ? (-8, 5/4) ? (5/4, ?) C) (-8, 5/4) D) (-?, -3/5) ? (3/5, ?)


A) (-?, -8) ? (8, ?)
B) (-?, -8) ? (-8, 5/4) ? (5/4, ?)
C) (-8, 5/4)
D) (-?, -3/5) ? (3/5, ?)

E) A) and D)
F) B) and C)

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For the polynomial function f (x) = 5 For the polynomial function f (x) = 5 +3x - 7, use synthetic division to find f (6) . A) 1091 B) 1104 C) 1182 D) 6 +3x - 7, use synthetic division to find f (6) .


A) 1091
B) 1104
C) 1182
D) 6

E) A) and B)
F) B) and C)

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Use the graphing strategy to graph the rational function. f (x) = Use the graphing strategy to graph the rational function. f (x) = Use the graphing strategy to graph the rational function. f (x) =

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A person standing near the edge of a cliff 150 feet above a lake throws a rock upward with an initial speed of 40 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time and is described A person standing near the edge of a cliff 150 feet above a lake throws a rock upward with an initial speed of 40 feet per second. The height of the rock above the lake at the bottom of the cliff is a function of time and is described -How many seconds will it take until the rock reaches its maximum height? What is that height? -How many seconds will it take until the rock reaches its maximum height? What is that height?

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1.25 secon...

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