FREE IBEW Aptitude Test Polynomials and Factoring Questions and Answers

Question 1

An electrical engineer models the voltage (V) in a circuit over time (t) using the polynomial V(t) = 3t² - 12t + 9. At which of the following times is the voltage equal to zero?

Accepted Answer

t = 1 and t = 3

Answer

t = 2 and t = 6

Answer

t = 1 and t = 9

Answer

t = 3 and t = 4

Question 2

Which of the following expressions is the result of simplifying (4x³ + 8x² - 6x) / (2x)?

Accepted Answer

2x² + 4x - 3

Answer

2x² + 4x - 6

Answer

4x² + 8x - 3

Answer

2x³ + 4x² - 3x

Question 3

The area of a rectangular electrical panel is given by the polynomial 2x² + 7x + 3. If the width of the panel is (x + 3), what is the length?

Accepted Answer

2x + 1

Answer

2x + 3

Answer

x - 1

Answer

2x - 1

Question 4

What is the product of the binomials (3y - 4) and (2y + 5)?

Accepted Answer

6y² + 7y - 20

Answer

6y² - 7y - 20

Answer

6y² + 23y - 20

Answer

5y + 1

Question 5

A signal processing function is described by the polynomial P(x) = (x² + 4)(x - 2) - (x² - 4)(x + 2). Which of the following is the simplified form of this polynomial?

Accepted Answer

-8x

Answer

8x

Answer

2x³ - 4x²

Answer

16

Question 6

Which of the following is the greatest common factor (GCF) of the terms in the polynomial 12a³b² - 18a²b³ + 30a⁴b?

Accepted Answer

6a²b

Answer

6a⁴b³

Answer

12a²b

Answer

6ab

An electrical engineer models the voltage (V) in a circuit over time (t) using the polynomial V(t) = 3t² - 12t + 9.At which of the following times is the voltage equal to zero?

An electrical engineer models the voltage (V) in a circuit over time (t) using the polynomial V(t) = 3t² - 12t + 9.
At which of the following times is the voltage equal to zero?