Rise Placement Test Exponents and Polynomials Questions and Answers

Question 1

Which of the following expressions is equivalent to (3x⁻⁴y⁵) / (x²y⁻²)?

Accepted Answer

3y⁷ / x⁶

Answer

3x⁻⁶y³

Answer

3x²y⁷

Answer

3y³ / x⁶

Question 2

A rectangular park has a length of (4x + 5) meters and a width of (x - 2) meters. Which polynomial represents the total area of the park in square meters?

Accepted Answer

4x² - 3x - 10

Answer

4x² + 13x - 10

Answer

5x + 3

Answer

4x² - 10

Question 3

Perform the subtraction: (8x² - 5x + 3) - (3x² + 2x - 7)

Accepted Answer

5x² - 7x + 10

Answer

5x² - 3x - 4

Answer

5x² - 7x - 4

Answer

11x² - 3x - 4

Question 4

Simplify the expression (2a³b⁻⁴)² completely.

Accepted Answer

4a⁶ / b⁸

Answer

2a⁵ / b²

Answer

4a⁵b⁻²

Answer

2a⁶ / b⁸

Question 5

Which of the following is the correct factorization of the polynomial 9x² - 49?

Accepted Answer

(3x - 7)(3x + 7)

Answer

(9x - 7)(x + 7)

Answer

(3x - 7)²

Answer

This polynomial cannot be factored.

Question 6

Find the product of (2x - 1) and (x² + 3x - 5).

Accepted Answer

2x³ + 5x² - 13x + 5

Answer

2x³ - x² + 3x + 5

Answer

2x³ + 7x² - 7x + 5

Answer

x² + 5x - 6