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Polynomials 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.

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  1. Divide 6x³ by 2x.

    Answer: 3x²

    Divide coefficients 6/2 = 3 and subtract exponents 3 - 1 = 2, giving 3x².

  2. Evaluate P(x) = 2x² - 3x + 1 at x = 2.

    Answer: 3

    P(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.

  3. Which of the following is a trinomial?

    Answer: x³ + 2x - 7

    A trinomial has exactly three terms; x³ + 2x - 7 has three terms.

  4. Expand: (x + 4)²

    Answer: x² + 8x + 16

    (x + 4)² = x² + 2(4)x + 4² = x² + 8x + 16.

  5. What is the GCF of 12x³ and 8x²?

    Answer: 4x²

    The GCF of 12 and 8 is 4, and the GCF of x³ and x² is x², giving 4x².

  6. Subtract: (5x² - 3x + 2) - (2x² + x - 4)

    Answer: 3x² - 4x + 6

    Distribute the negative: (5-2)x² = 3x², (-3-1)x = -4x, (2+4) = 6, giving 3x² - 4x + 6.