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 Polynomials 30 Flashcards |
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What is the degree of the polynomial 3x⁷ - 4x⁶ + x + 9? |
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7 |
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Which of the following is a quadratic polynomial? A) x² - 2x + 1 B) x⁴ + 2 C) x + 5 D) 3 |
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A) x² - 2x + 1 |
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Riddle: I can have one term, two terms, or three, but I never have a negative exponent. What am I? |
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Polynomial |
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True or False: The constant polynomial 0 is known as the zero polynomial and has a defined degree. |
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False. The zero polynomial has an undefined degree. |
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The expression p(x) = 5x³ - 2x² + 3x - 2 has a zero at x = _____ if p(1) = 0. |
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1 |
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Which of the following is not a polynomial? A) 2x² + 3 B) x + 2/x C) 5x - 1 D) 4x³ + 7 |
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B) x + 2/x |
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What is the general form of a polynomial in one variable of degree n? |
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A₀ + a₁x + a₂x² + ... + aₙxⁿ |
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Fill in the blank: A polynomial with two terms is called a ______. |
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Binomial |
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True or False: Every real number is a zero of the zero polynomial. |
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True |
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What is the form of a cubic polynomial? |
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Ax³ + bx² + cx + d |
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Fill in the blank: If p(a) = 0, then (x - a) is a ______ of the polynomial p(x). |
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Factor |
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Which identity represents the square of a binomial? A) (x + y)² = x² + 2xy + y² B) (x - y)² = x² - y² C) x² - y² = (x - y)(x + y) D) (x + y)³ = x³ + y³ + 3xy |
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A) (x + y)² = x² + 2xy + y² |
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True or False: Non-whole number exponents are permitted in polynomials. |
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False. Polynomials only include whole number exponents. |
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What type of polynomial is defined as having a degree of 1? |
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Linear polynomial |
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What is the degree of the polynomial p(x) = 4x⁴ - 3x² + 2x - 5? |
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4 |
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