ACT Math · Algebra
Polynomial and rational functions practice questions
Each free question on this page comes with its answer and a full explanation.
- Question 12One solution to x³ - 2x² - 5x + 6 = 0 is x = 1. What is the sum of the other two solutions?
- Question 16What is the domain of f(x) = √(x-4)x-7?
- Question 21For the function f(x) = (x²-16)/(x-4), what is the value that f(x) approaches as x approaches 4, even though f(4) is undefined?
- Question 93What are all real solutions to x³ + 2x² - 9x - 18 = 0?
- Question 96What is the quotient when x³ - 2x² - 5x + 6 is divided by x - 1?
- Question 103What values of x must be excluded from the domain of f(x) = (x+5)/(x²-9)?
- Question 139For which values of x is x-2/x+1 > 0?
- Question 143A function is given by f(x) = (x-5)(x+2)(x-1). What is the sum of the zeros of f?
- Question 144As x → ∞ and x → -∞, what happens to f(x) = -3x^4 + 2x² - 1?
- Question 228Which expression is equivalent to (x²-4)/(x²+5x+6) for x ≠ -2, -3?
- Question 231Which is the complete factorization of 9x² - 25?
- Question 232Which is the complete factorization of x² + 14x + 49?
- Question 240If f(x) = (x²-9)/(x-3), what is f(5)?
- Question 250What are the zeros of f(x) = (2x - 6)(x + 4)?
- Question 251What are the vertical asymptotes of f(x) = (x+2)/(x²-16)?