NC Math 3 EOC Review

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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 of that division is f(c).

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How do you find the remainder when dividing a polynomial by a linear factor?

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To find the remainder when dividing a polynomial by a linear factor (x - c), evaluate the polynomial at c, i.e., f(c).

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What is the inverse of a function?

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The inverse of a function f(x) is a function f^{-1}(x) that reverses the effect of f. If f(a) = b, then f^{-1}(b) = a.

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How do you find the inverse of a linear function?

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To find the inverse of a linear function f(x) = mx + b, swap x and y and solve for y: y = (x - b)/m.

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What is the factored form of a difference of squares?

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The factored form of a difference of squares a^2 - b^2 is (a - b)(a + b).

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What is the sine of 90 degrees?

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What is a polynomial?

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The domain must be restricted to either x >= 0 or x <= 0 to ensure the function is one-to-one.