AnswersAlgebra III ASolving Quadratic Equations: Completing the Square (Continued)

Solving Quadratic Equations: Quadratic Formula Answers

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Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.f(x) = x2 + 6x + 8g(x) = x2 + 4x + 8h(x) = x2 – 12x + 32k(x) = x2 + 4x – 1 p(x) = 5x2 + 5x + 4t(x) = x2 – 2x – 15

A
f(x) = x2 + 6x + 8
B
g(x) = x2 + 4x + 8
C
h(x) = x2 – 12x + 32
D
k(x) = x2 + 4x – 1
E
p(x) = 5x2 + 5x + 4
F
t(x) = x2 – 2x – 15
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The negative x-intercept is at ([___] , 0).

Answer:

-1/3

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f(x) = [___] x2 + [___] x + [___]

Answer:

7

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What are the values of x in the equation 4x2 + 4x – 3 = 0?

A
x = –1.5, 0.5
B
x = –0.5, –1.5
C
x =
D
x =
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What is true about Marcus’s work? Check all that apply.

A
Marcus should have substituted –10 for b, not 10.
B
The denominator should be 1, not 2.
C
Marcus should have subtracted 4(1)(25) in the square root.
D
This equation, when solved correctly, only has 1 real number solution.
E
This equation has 2 real number solutions.
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What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?

A
x = –4 ± 2
B
x = –4 ±
C
x =
D
x =
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–1012

A
–1
B
0
C
1
D
2

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