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Aptitude Test Polynomial Factoring Methods Questions and Answers 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.

Read the first 6 Aptitude Test Polynomial Factoring Methods Questions and Answers flashcards as text

  1. Factor: x² - 16

    Answer: (x - 4)(x + 4)

    Difference of squares: x² - 4² = (x-4)(x+4).

  2. What are the roots of x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor: (x-2)(x-3) = 0. So x = 2 or x = 3.

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

    Answer: (x + 2)(x² + 3)

    Group: (x³+2x²) + (3x+6). Factor each: x²(x+2) + 3(x+2). Factor out (x+2): (x+2)(x²+3).

  4. Which is a perfect square trinomial?

    Answer: x² + 6x + 9

    x² + 6x + 9 = (x+3)². Check: 2×1×3=6 (middle term), 3²=9 (constant). Perfect square.

  5. Factor completely: 2x³ - 8x

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

    Factor out 2x: 2x(x²-4). Factor difference of squares: 2x(x-2)(x+2).

  6. Expand: (3x - 2)(3x + 2)

    Answer: 9x² - 4

    Difference of squares: (a-b)(a+b) = a² - b². (3x-2)(3x+2) = 9x² - 4.