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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. Solve: x² + 3x - 10 = 0

    Answer: x = 2 and x = -5

    Factor: (x+5)(x-2)=0. x=-5 or x=2.

  2. Factor: 4x² - 12x + 9

    Answer: (2x - 3)²

    This is a perfect square: (2x)² - 2(2x)(3) + 3² = (2x-3)².

  3. What is the GCF of 12x³y², 18x²y³, and 24xy⁴?

    Answer: 6xy²

    GCF of 12, 18, 24 is 6. Lowest powers: x¹, y². GCF = 6xy².

  4. Factor: x² - x - 12

    Answer: (x + 3)(x - 4)

    Find two numbers with product=-12, sum=-1: -4 and +3. Factor: (x+3)(x-4).

  5. Simplify: (x² - 9)/(x + 3)

    Answer: x - 3

    x²-9 = (x-3)(x+3). Divide by (x+3): x-3.

  6. Use the quadratic formula to solve: x² - 4x - 5 = 0

    Answer: x = 5 and x = -1

    a=1, b=-4, c=-5. Discriminant=16+20=36. x=(4±6)/2. x=5 or x=-1.