Algebra 8 Chapter 10 Vocabulary – Flashcards
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An expression which is the sum of terms of the form ax^k, where k is a nonnegative integer
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polynomial
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The form of a polynomial ax^n + bx^(n-1) + ... + qx + r
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standard form
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The name for the exponent of the variable in a term of a polynomial
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degree
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The largest degree of any of the terms of a polynomial.
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degree of a polynomial
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When a polynomial is written in standard form, the coefficient of the first term is the ____.
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leading coefficient
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A polynomial with only one term is called a ____.
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monomial
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A polynomial with two terms is called a ____.
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binomial
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A polynomial with three terms is called a ____.
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trinomial
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The growth of a polynomial is ____ in a monomial of degree zero.
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constant
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The growth of a polynomial is ____ in a monomial of degree one.
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linear
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The growth of a polynomial is ____ in a polynomial of degree two.
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quadratic
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The growth of a polynomial is ____ in a polynomial of degree three.
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cubic
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The growth of a polynomial is ____ in a polynomial of degree four.
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quartic
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Which is the constant term in 2x^3 + 5x^2 - 4^x + 7 ???
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7
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Which is the leading coefficient in 2x^3 + 5x^2 - 4^x + 7 ???
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2
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What is the degree of the polynomial in 2x^3 + 5x^2 - 4^x + 7 ???
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3
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What is the degree of the 2nd monomial in 2x^3 + 5x^2 - 4^x + 7 ???
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2
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What is the degree of the third monomial in 2x^3 + 5x^2 - 4^x + 7 ???
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1
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What is the coefficient of the third monomial in 2x^3 + 5x^2 - 4^x + 7 ???
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4
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What is the coefficient of the fourth monomial in 2x^3 + 5x^2 - 4^x + 7 ???
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7
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What does FOIL stand for?
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First Outer Inner Last
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What is the sum and difference pattern?
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(a+b)(a-b) = a^2 - b^2
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What pattern? (a+b)(a-b) = a^2 - b^2
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sum and difference
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What pattern? (a+b)^2 = a^2 + 2ab + b^2
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square of a binomial
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What pattern? (a-b)^2 = a^2 - 2ab + b^2
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square of a binomial
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A polynomial is in ____ if it is written as the product of two or more linear factors.
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factored form
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Zero Product Property: Let 'a' and 'b' be real numbers. If ____, then 'a' = 0 or 'b' = 0
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ab=0
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What property? LPr
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zero property
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What pattern? a^2 - b^2 = (a+b)(a-b)
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difference of two squares
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What is the difference of two squares pattern?
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a^2 - b^2 = (a+b)(a-b)
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What pattern? a^2 + 2ab + b^2 = (a+b)^2
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perfect square trinomial
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What pattern? a^2 - 2ab + b^2 = (a-b)^2
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perfect square trinomial
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A polynomial is ___ if it is not the product of polynomials having integer coefficients
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prime
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To factor a monomial completely, write it as the product of 1.) ____ and 2.) prime factors with at least two terms
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monomial factors
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To factor a monomial completely, write it as the product of 1.) monomial factors and 2.) ____
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prime factors with at least two terms
