Exam (elaborations)

(WGU C880) - EDUC 5101 Algebra for Secondary Mathematics Teaching - FA Review

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(WGU C880) - EDUC 5101 Algebra for Secondary Mathematics Teaching - FA Review (WGU C880) - EDUC 5101 Algebra for Secondary Mathematics Teaching - FA Review (WGU C880) - EDUC 5101 Algebra for Secondary Mathematics Teaching - FA Review (WGU C880) - EDUC 5101 Algebra for Secondary Mathematics Teaching...

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C880 EDUC 5101

Algebra for Secondary
Mathematics Teaching

FA REVIEW

©WGU 2024/2025

,1. **Question**: Which of the following represents the general
form of a polynomial function?
a) $ f(x) = ax^2 + bx + c $
b) $ f(x) = a_0 + a_1x + a_2x^2 + \ldots + a_nx^n $
c) $ f(x) = \frac{1}{x} $
d) $ f(x) = \sqrt{x} $
**Answer**: b) $ f(x) = a_0 + a_1x + a_2x^2 + \ldots + a_nx^n
$
**Rationale**: The general form of a polynomial includes terms
of the form $ ax^n $ where $ n $ is a non-negative integer.

2. **Question**: What is the degree of the polynomial $ f(x) =
4x^5 - 3x^3 + 2 $?
a) 3
b) 5
c) 4
d) 0
**Answer**: b) 5

©WGU 2024/2025

, **Rationale**: The degree of a polynomial is the highest power
of the variable $ x $ in the expression.

3. **Question**: Which of the following transformations
represents a vertical shift of the graph of $ y = f(x) $?
a) $ y = f(x) + k $
b) $ y = f(x + k) $
c) $ y = kf(x) $
d) $ y = -f(x) $
**Answer**: a) $ y = f(x) + k $
**Rationale**: A vertical shift occurs by adding or subtracting a
constant to the function.

### Fill-in-the-Blank Questions

4. **Question**: The discriminant of a quadratic equation $ ax^2
+ bx + c = 0 $ is given by the formula _______.
**Answer**: $ D = b^2 - 4ac $
**Rationale**: The discriminant helps determine the nature of
the roots of the quadratic equation.

©WGU 2024/2025

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