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Polynomials and Factoring Flashcards

6 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Polynomials and Factoring flashcards as text

  1. Factor completely: 3x³ - 12x.

    Answer: 3x(x + 2)(x - 2)

    Factor out 3x to get 3x(x² - 4), then factor the difference of squares to get 3x(x + 2)(x - 2).

  2. What is the result of (2x + 3)(3x - 1)?

    Answer: 6x² + 7x - 3

    FOIL: 6x² - 2x + 9x - 3 = 6x² + 7x - 3.

  3. Factor: x² - 2x - 8.

    Answer: (x - 4)(x + 2)

    Find two numbers that multiply to -8 and add to -2: -4 and 2, giving (x - 4)(x + 2).

  4. Factor 4x² + 12x + 9.

    Answer: (2x + 3)²

    This is a perfect square trinomial: (2x)² + 2(2x)(3) + 3² = (2x + 3)².

  5. Divide: (6x³ - 3x) ÷ 3x.

    Answer: 2x² - 1

    Divide each term: 6x³/3x - 3x/3x = 2x² - 1.

  6. Which expression is equivalent to -(3x - 5)?

    Answer: -3x + 5

    Distribute the negative sign: -3x + 5.