Solving polynomials by factoring

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What is a polynomial?

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Front

What are the zeros of a polynomial?

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The zeros of a polynomial are the values of the variable that make the polynomial equal to zero. They are also known as the roots of the polynomial.

Front

How do you find the zeros of a polynomial by factoring?

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To find the zeros of a polynomial by factoring, express the polynomial as a product of its factors and set each factor equal to zero. Solve for the variable to find the zeros.

Tags

CCSS.HSF-IF.C.7C

Front

What is the degree of a polynomial?

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Front

What is the factored form of a polynomial?

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Front

What is the significance of the leading coefficient in a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It affects the end behavior of the polynomial's graph.

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How do you determine the number of zeros a polynomial can have?

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A polynomial of degree n can have at most n real zeros. The actual number of real zeros can be less than n, depending on the polynomial.

Front

What is synthetic division?

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Tags

CCSS.HSA.APR.D.6

Front

What is the Rational Root Theorem?

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Tags

CCSS.HSA.APR.B.2

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What is the relationship between the zeros and the factors of a polynomial?

Back

Tags

CCSS.HSF-IF.C.7C