Solving Polynomials by Factoring

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CCSS.HSF-IF.C.7C

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True or False: The degree of the polynomial determines the maximum number of roots.

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True.

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CCSS.8.EE.A.2

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Cubic.

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What is a polynomial?

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A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

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Define the degree of a polynomial.

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The degree of a polynomial is the highest power of the variable in the polynomial.

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What is factoring in relation to polynomials?

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Factoring is the process of breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.

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What are the roots of a polynomial?

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

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

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A polynomial of degree n can have at most n roots.

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CCSS.HSA-REI.B.4B