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Keystone Algebra: Polynomials and Quadratic Functions Flashcards

6 cards from real Keystone 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 Keystone Algebra: Polynomials and Quadratic Functions flashcards as text

  1. What is the standard form of a quadratic equation?

    Answer: ax² + bx + c = 0

    The standard form of a quadratic equation is ax² + bx + c = 0, where a ≠ 0.

  2. Which of the following is a polynomial expression?

    Answer: 3x² + 2x − 5

    A polynomial has non-negative integer exponents, so 3x² + 2x − 5 qualifies.

  3. What are the zeros of f(x) = x² − 9?

    Answer: x = 3 and x = −3

    Setting x² − 9 = 0 gives x² = 9, so x = ±3.

  4. What is the vertex of the parabola y = (x − 2)² + 5?

    Answer: (2, 5)

    In vertex form y = (x − h)² + k, the vertex is (h, k), so here it is (2, 5).

  5. What is the product of (x + 3)(x − 4)?

    Answer: x² − x − 12

    Using FOIL: x·x + x·(−4) + 3·x + 3·(−4) = x² − 4x + 3x − 12 = x² − x − 12.

  6. Which value of x satisfies x² − 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factoring gives (x − 2)(x − 3) = 0, so x = 2 or x = 3.

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