Finding Zeros from Factored Form

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What are the zeros of a polynomial function?

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The zeros of a polynomial function are the values of x for which the function equals zero. They are the x-intercepts of the graph of the function.

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CCSS.HSF-IF.C.7C

Front

How do you find the zeros from a factored form of a polynomial?

Back

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CCSS.HSF-IF.C.7C

Front

What is the factored form of a polynomial?

Back

Front

If a polynomial has a zero at x = 3, what does this tell you about its factors?

Back

Tags

CCSS.HSF-IF.C.7C

Front

What is the significance of the x-intercepts of a polynomial function?

Back

The x-intercepts (or zeros) indicate the points where the graph of the polynomial crosses the x-axis, showing the values of x for which the function equals zero.

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Back

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CCSS.HSA.APR.B.3

Front

What is the relationship between the degree of a polynomial and the number of zeros it can have?

Back

The degree of a polynomial indicates the maximum number of zeros it can have. For example, a quadratic polynomial (degree 2) can have up to 2 zeros.

Front

How can you verify if a given polynomial has the correct zeros?

Back

To verify, substitute the zeros into the polynomial equation. If the result is zero, then the zeros are correct.

Tags

CCSS.HSF-IF.C.7C

Front

What does it mean if a polynomial has a repeated zero?

Back

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CCSS.HSF-IF.C.7C

Front

How do you determine the multiplicity of a zero?

Back

The multiplicity of a zero is determined by the number of times its corresponding factor appears in the factored form of the polynomial.

Tags

CCSS.HSF-IF.C.7C