The Remainder Theorem (4.3.1) Flashcards Preview

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Flashcards in The Remainder Theorem (4.3.1) Deck (4)
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1
Q

• The remainder theorem: If a polynomial p (x) is divided by (x – c), then its remainder is p (c). Note in (x – c), the c is subtracting; as a result, any constant must change its sign before being substituted into the polynomial.

A

• The remainder theorem: If a polynomial p (x) is divided by (x – c), then its remainder is p (c). Note in (x – c), the c is subtracting; as a result, any constant must change its sign before being substituted into the polynomial.

2
Q

• This theorem and synthetic division allow the evaluation of some really big and complicated polynomials that might otherwise just baffle everybody

A

• This theorem and synthetic division allow the evaluation of some really big and complicated polynomials that might otherwise just baffle everybody

3
Q

• The remainder will always have less value than the dividing expression.

A

• The remainder will always have less value than the dividing expression.

4
Q

• The remainder will not have any x-terms, or you would be able to continue dividing.

A

• The remainder will not have any x-terms, or you would be able to continue dividing.

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