Remainder Theorem

Front

What is the Remainder Theorem?

Back

Front

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

Back

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Back

The remainder is 0.

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Back

Front

What is the significance of a polynomial having a remainder of 0 when divided by a linear factor?

Back

If the remainder is 0, it indicates that the linear factor is a root of the polynomial, meaning it divides the polynomial evenly.

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Back

No, it is not a factor!

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Back

The remainder is 0.

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What does it mean if a polynomial has a degree of 3?

Back

A polynomial of degree 3 is a cubic polynomial, which can have up to 3 real roots.

Front

What is the relationship between the degree of a polynomial and the number of possible roots?

Back

The degree of a polynomial indicates the maximum number of roots it can have.

Front

What is synthetic division and how is it related to the Remainder Theorem?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear factor, and it can be used to quickly find the remainder.