Polynomial Division

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What is polynomial division?

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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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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 of that division is f(c).

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CCSS.HSA.APR.B.2

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How do you evaluate a polynomial at a specific value?

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To evaluate a polynomial p(x) at a value a, substitute a for x in the polynomial and simplify.

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CCSS.6.EE.A.2C

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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 divisor of the form (x - c) using coefficients.

Tags

CCSS.HSA.APR.D.6

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What is a zero of a polynomial?

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A zero of a polynomial is a value of x for which the polynomial evaluates to zero.

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CCSS.HSF-IF.C.7C

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How do you find the remainder when dividing polynomials?

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You can find the remainder by using the Remainder Theorem or by performing polynomial long division.

Tags

CCSS.HSA.APR.B.2

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What is the quotient in polynomial division?

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The quotient is the result of dividing one polynomial by another, excluding the remainder.

Tags

CCSS.HSA.APR.D.6

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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 does it mean for a polynomial to be factored?

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Factoring a polynomial means expressing it as a product of its factors, which can be polynomials of lower degrees.

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

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The leading coefficient is the coefficient of the term with the highest degree and determines the polynomial's end behavior.