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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. Which method can be used to find the roots of any quadratic equation?

    Answer: Quadratic formula

    The quadratic formula x = (−b ± √(b²−4ac)) / 2a works for any quadratic equation.

  2. What does the discriminant b² − 4ac tell you about a quadratic equation?

    Answer: The number and type of solutions

    The discriminant determines if there are two real, one real, or two complex solutions.

  3. What is the axis of symmetry of y = 2x² − 8x + 3?

    Answer: x = 2

    The axis of symmetry is x = −b/(2a) = −(−8)/(2·2) = 8/4 = 2.

  4. Which of the following correctly factors 2x² + 7x + 3?

    Answer: (2x + 1)(x + 3)

    Expanding (2x + 1)(x + 3) = 2x² + 6x + x + 3 = 2x² + 7x + 3.

  5. A parabola opens downward when the leading coefficient a is:

    Answer: Negative

    When a < 0 in y = ax² + bx + c, the parabola opens downward.

  6. What is the degree of the polynomial 4x³ − 2x² + x − 7?

    Answer: 3

    The degree is the highest exponent, which is 3 in 4x³.

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