Finding Zeros and X-Intercepts (factored form)

Front

What are the zeros of a polynomial?

Back

The zeros of a polynomial are the values of x that make the polynomial equal to zero.

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What is an x-intercept?

Back

An x-intercept is a point where the graph of a function crosses the x-axis, meaning the output (y-value) is zero.

Front

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

Back

Set each factor equal to zero and solve for x.

Front

What does the factored form of a quadratic equation look like?

Back

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Front

What is the significance of the solutions of a polynomial?

Back

The solutions indicate the points where the graph intersects the x-axis.

Front

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

Back

A polynomial of degree n can have up to n real zeros.

Front

What does it mean if a polynomial has repeated factors?

Back

Repeated factors indicate that the corresponding zero has a multiplicity greater than one.