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SAT Math: Polynomials (Drill 1)

Drill 1 · Math · Polynomials

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About This Drill

SAT Math: Polynomials (Drill 1) 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 test addition, subtraction, and multiplication of polynomials, factoring by grouping or special forms, finding zeros, understanding end behavior, and applying the Remainder Theorem to evaluate polynomials without full division.

Questions in This Drill

  1. If x = 1 is a zero of p(x) = x³ − 4x² − 7x + 10, what is the sum of all three zeros of p(x)?
  2. When the polynomial p(x) = 2x³ − 5x² + 3x − 7 is divided by (x − 2), what is the remainder?
  3. Which of the following is equivalent to (x + 3)(x² − 2x + 4)?
  4. The polynomial f(x) = −3x⁴ + 5x³ − x + 2 has a leading term of −3x⁴. Which of the following describes the end behavior of f(x)?
  5. What are the zeros of p(x) = x³ + 5x² − 9x − 45?