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Polynomials and Factoring Flashcards

6 cards from real IBEW 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. Factor: x² - 5x - 14

    Answer: (x - 7)(x + 2)

    Find numbers that multiply to -14 and add to -5: -7 and 2. So (x-7)(x+2).

  2. What is the degree of the polynomial 4x³ - 2x⁵ + 7x - 9?

    Answer: 5

    The degree is the highest exponent: the term -2x⁵ has exponent 5, so the degree is 5.

  3. Expand: (x + 5)²

    Answer: x² + 10x + 25

    (x + 5)² = x² + 2(5)x + 5² = x² + 10x + 25.

  4. Factor by grouping: 2x³ + 4x² + 3x + 6

    Answer: (2x² + 3)(x + 2)

    Group: (2x³ + 4x²) + (3x + 6) = 2x²(x + 2) + 3(x + 2) = (2x² + 3)(x + 2).

  5. Divide the polynomial: (x² + 5x + 6) ÷ (x + 2)

    Answer: x + 3

    Factor numerator: (x+2)(x+3). Dividing by (x+2) gives (x+3).

  6. Which of the following is a factor of x² - x - 6?

    Answer: (x - 3)

    x² - x - 6 = (x - 3)(x + 2). So (x - 3) is a factor.