Polynomial Division & Factoring Flashcard Review

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What is polynomial division?

Back

Polynomial division is the process of dividing a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

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What is the remainder theorem?

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The remainder theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).

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How do you perform synthetic division?

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Synthetic division is a shortcut method for dividing a polynomial by a linear factor of the form (x - c). It involves using the coefficients of the polynomial and the value of c.

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What is the factor theorem?

Back

The factor theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

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What is the standard form of a polynomial?

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial.

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What is a monomial?

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What is a binomial?

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What is a trinomial?

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How do you factor a polynomial?

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To factor a polynomial, you find the greatest common factor (GCF) and then express the polynomial as a product of its factors.