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Polynomial Factoring Methods Flashcards

7 cards from real IBEW practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Polynomial Factoring Methods flashcards as text

  1. Factor the trinomial: x² + 11x + 30

    Answer: (x + 3)(x + 10)

    Find two numbers that multiply to 30 and add to 11: 3 and 10, giving (x + 3)(x + 10).

  2. Which expression is a perfect square trinomial?

    Answer: x² + 6x + 9

    x² + 6x + 9 = (x + 3)² because the middle term equals 2 times the square root of the last term times x.

  3. Factor completely: 3x² - 12

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

    Factor out 3 to get 3(x² − 4), then factor the difference of squares to get 3(x − 2)(x + 2).

  4. What are the factors of x² - 10x + 25?

    Answer: (x - 5)²

    x² − 10x + 25 is a perfect square trinomial equal to (x − 5)².

  5. Factor: 2x² + 5x + 3

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

    Using the AC method: 2×3=6; factors of 6 summing to 5 are 2 and 3, giving (2x + 3)(x + 1).

  6. Which method is best for factoring x³ - 27?

    Answer: Difference of cubes

    x³ − 27 = x³ − 3³ is a difference of cubes, factored as (x − 3)(x² + 3x + 9).

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

    Answer: (x² + 3)(x + 2)

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