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
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
