dividing polynomials

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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 equal or lower degree, similar to long division with numbers.

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 is the quotient in polynomial division?

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The quotient is the result obtained from dividing one polynomial by another.

Tags

CCSS.HSA.APR.D.6

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What is the remainder in polynomial division?

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The remainder is what is left over after dividing one polynomial by another, if the division is not exact.

Tags

CCSS.HSA.APR.B.2

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How do you perform long division with polynomials?

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1. Divide the leading term of the dividend by the leading term of the divisor. 2. Multiply the entire divisor by this result. 3. Subtract this from the dividend. 4. Repeat with the new polynomial.

Tags

CCSS.HSA.APR.D.6

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What is synthetic division?

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Synthetic division is a simplified form of polynomial division that is used when dividing by a linear factor of the form (x - c).

Tags

CCSS.HSA.APR.D.6

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What is the Factor Theorem?

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The Factor Theorem states that a polynomial f(x) has a factor (x - c) if and only if f(c) = 0.

Tags

CCSS.HSA.APR.B.2

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What is the Remainder Theorem?

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The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - c) is equal to f(c).

Tags

CCSS.HSA.APR.B.2

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How do you find the width of a rectangle if you know the area and one side?

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To find the width, divide the area polynomial by the known side polynomial using polynomial division.

Tags

CCSS.HSA.APR.D.6

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Back

Tags

CCSS.HSA.APR.D.6