AAC #4 Factoring higher powers

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(x + 1)(x^2 - x + 1)

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±1, ±2, ±4, ±8, ±16

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(7x + 4i)(7x - 4i)

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No, it has a remainder.

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6

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What is the Rational Root Theorem?

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What is the difference between a factor and a zero of a polynomial?

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A factor is an expression that divides the polynomial evenly, while a zero is a value of x that makes the polynomial equal to zero.

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How do you determine if a number is a zero of a polynomial?

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Substitute the number into the polynomial; if the result is zero, it is a zero.

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What is synthetic division?

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A method used to divide a polynomial by a linear factor, simplifying the process of finding zeros.

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What is the significance of complex zeros in polynomials?

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Complex zeros occur in conjugate pairs and indicate that the polynomial does not cross the x-axis at those points.