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Polynomials and Factoring Flashcards

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

Read the first 6 Polynomials and Factoring flashcards as text

  1. Simplify: (3x² + 2x - 1) + (x² - 4x + 5).

    Answer: 4x² - 2x + 4

    Combine like terms: (3+1)x² + (2-4)x + (-1+5) = 4x² - 2x + 4.

  2. What is the degree of the polynomial 5x⁴ - 3x² + 7x - 2?

    Answer: 4

    The degree is the highest power of the variable, which is 4.

  3. Multiply: (x + 3)(x - 2).

    Answer: x² + x - 6

    Use FOIL: x² - 2x + 3x - 6 = x² + x - 6.

  4. Factor out the GCF: 6x³ + 9x².

    Answer: 3x²(2x + 3)

    The GCF of 6x³ and 9x² is 3x², giving 3x²(2x + 3).

  5. Expand: (2x + 1)².

    Answer: 4x² + 4x + 1

    Using (a + b)² = a² + 2ab + b²: (2x)² + 2(2x)(1) + 1² = 4x² + 4x + 1.

  6. A polynomial with exactly 3 terms is called a:

    Answer: Trinomial

    A trinomial is a polynomial with exactly three terms.