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Aptitude Test Polynomials and Factoring 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 Polynomials and Factoring Questions and Answers flashcards as text

  1. Factor completely: 2x² - 8

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

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

  2. Expand and simplify: (2x - 3)²

    Answer: 4x² - 12x + 9

    (2x-3)² = (2x)² - 2(2x)(3) + 3² = 4x² - 12x + 9.

  3. Factor: x² - 7x + 12

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

    Find two numbers with product=12 and sum=-7: -3 and -4. Factored: (x-3)(x-4).

  4. What is the value of p(2) if p(x) = x³ - 3x² + 2x - 5?

    Answer: -5

    p(2) = 8 - 12 + 4 - 5 = -5.

  5. Add the polynomials: (3x² - 2x + 5) + (x² + 4x - 3)

    Answer: 4x² + 2x + 2

    Combine like terms: (3x²+x²) + (-2x+4x) + (5-3) = 4x² + 2x + 2.

  6. Factor: 3x² - 12x

    Answer: 3x(x - 4)

    GCF of 3x² and 12x is 3x. 3x² ÷ 3x = x, 12x ÷ 3x = 4. Factored: 3x(x - 4).