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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: x² - 9

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

    x² - 9 is a difference of squares: a² - b² = (a-b)(a+b). Here a=x, b=3. So (x-3)(x+3).

  2. Expand: (x + 4)(x + 3)

    Answer: x² + 7x + 12

    FOIL: x·x + x·3 + 4·x + 4·3 = x² + 3x + 4x + 12 = x² + 7x + 12.

  3. Factor: 6x² + 9x

    Answer: 3x(2x + 3)

    GCF of 6x² and 9x is 3x. Factor out: 3x(2x + 3).

  4. What is the degree of the polynomial 4x³ - 2x² + 7x - 1?

    Answer: 3

    The degree is the highest power of x, which is 3 (from 4x³).

  5. Factor: x² + 5x + 6

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

    Find two numbers that multiply to 6 and add to 5: 2 and 3. Factored: (x+2)(x+3).

  6. Simplify: (2x² + 4x) / (2x)

    Answer: x + 2

    Factor numerator: 2x(x + 2). Divide by 2x: (x + 2).