SAT Math: Polynomials (Drill 2)

About This Drill

SAT Math: Polynomials (Drill 2) is a Math practice drill covering Polynomials. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT polynomial questions cover adding, subtracting, and multiplying polynomials, factoring into linear and quadratic factors, identifying real zeros, applying the Remainder Theorem, and analyzing end behavior based on the degree and leading coefficient.

Questions in This Drill

1. If p(x) = x³ − 6x² + 11x − 6, which of the following is a factor of p(x)?
2. What is the remainder when p(x) = x⁴ − 3x² + 5 is divided by (x + 1)?
3. Which of the following is equivalent to (2x² + 3x − 1) − (x² − 4x + 5)?
4. The polynomial g(x) = 2x³ − x² + 4x − 7 has a leading term of 2x³. Which of the following describes the end behavior of g(x)?
5. The polynomial p(x) has zeros at x = −4, x = 1, and x = 3. If the leading coefficient is 1, which of the following is p(x)?