Polynomial Mini Flashcard

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What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. It can be written in the form: a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_0 are constants.

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What are the degrees of polynomials?

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The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 3x^4 + 2x^3 - x + 5, the degree is 4.

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What is a monomial?

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A monomial is a polynomial with only one term. For example, 5x^2 and -3 are monomials.

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What is a binomial?

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A binomial is a polynomial with exactly two terms. For example, x + 5 and 3x^2 - 2 are binomials.

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What is a trinomial?

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A trinomial is a polynomial with exactly three terms. For example, x^2 + 3x + 2 is a trinomial.

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How do you add polynomials?

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To add polynomials, combine like terms. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 3x + 5.

Tags

CCSS.HSA.APR.A.1

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How do you subtract polynomials?

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To subtract polynomials, distribute the negative sign and then combine like terms. For example, (5x^2 + 3) - (2x^2 + 1) = 3x^2 + 2.

Tags

CCSS.HSA.APR.A.1

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What is the product of two binomials?

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The product of two binomials can be found using the FOIL method: First, Outside, Inside, Last. For example, (x + 2)(x + 3) = x^2 + 5x + 6.

Tags

CCSS.HSA.APR.A.1

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What is polynomial long division?

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Polynomial long division is a method used to divide a polynomial by another polynomial. It involves dividing the leading terms, multiplying, and subtracting until the remainder is of lower degree.

Tags

CCSS.HSA.APR.D.6

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What is the Remainder Theorem?

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The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder is f(c).

Tags

CCSS.HSA.APR.B.2