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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. What is the end behavior of y = -x³ + 2x as x → +∞?

    Answer: y → -∞

    With odd degree and negative leading coefficient, y goes to -∞ as x → +∞.

  2. Factor: 2x² + 8x

    Answer: 2x(x + 4)

    The GCF is 2x, so 2x² + 8x = 2x(x + 4).

  3. How many terms does (a + b)(c + d) produce before combining like terms?

    Answer: 4

    Using FOIL gives exactly 4 terms: ac, ad, bc, and bd.

  4. Which polynomial has roots at x = 1 and x = -5?

    Answer: x² + 4x - 5

    (x - 1)(x + 5) = x² + 5x - x - 5 = x² + 4x - 5.

  5. Expand: (3x - 2)²

    Answer: 9x² - 12x + 4

    Using (a - b)² = a² - 2ab + b²: (3x)² - 2(3x)(2) + 4 = 9x² - 12x + 4.

  6. Identify the constant term in: 7x⁴ - 3x² + 9

    Answer: 9

    The constant term is the term with no variable, which is 9.