Polynomial Review2 - Warm-Up

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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 of this division is f(c).

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What is the imaginary unit 'i'?

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What does it mean for (x - c) to be a factor of a polynomial?

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(x - c) is a factor of a polynomial f(x) if f(c) = 0, meaning the polynomial has a root at x = c.

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What is the Factor Theorem?

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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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How do you find the remainder of a polynomial division?

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To find the remainder of a polynomial f(x) divided by (x - c), evaluate f(c).

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What is synthetic division?

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Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c).

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What is the significance of the leading coefficient in a polynomial?

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The leading coefficient determines the end behavior of the polynomial function as x approaches positive or negative infinity.

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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 expression.

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What is a binomial?

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