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Factoring Polynomials Completely

Need help factoring higher degree polylnomials completely? This free math lesson shows how to use synthetic division and the Quadratic Formula to completely factor 3rd degree and higher polynomials. Includes a printable study guide, practice quiz with instant feedback, and more! See more Algebra 2 lessons at katesmathlessons.com

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End behavior "discovery" intro - start with a basic introduction to vocabulary (degree, leading coefficient). Give each group a copy of the first page to cut out and sort based on the degree and leading coefficient. We'll then compare the end behavior of the graphs in each group to come up with the "rules" for polynomial end behavior.

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from wikiHow

Find the Degree of a Polynomial

Image titled Find the Degree of a Polynomial Step 9

The degree of polynomial is the greatest exponent of a term. The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form. The sum of the powers of all variables in the term is the degree of the polynomial. The degree can also be specified as order. The degree of polynomial is for the single variable or the combination of two or more variables with the powers.

The degree of polynomial is the greatest exponent of a term. The greatest exponent should have a non-zero coefficient in a polynomial expressed as a sum or difference of terms which is commonly known as Canonical form. The sum of the powers of all variables in the term is the degree of the polynomial. The degree can also be specified as order. The degree of polynomial is for the single variable or the combination of two or more variables with the powers.

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In this page we are going to discuss about roots of polynomials concept . In any polynomial, root is the value of the independent variable that satisfies the polynomial. In general, the degree of a polynomial is equal to the number of roots. Roots of a polynomial are also known as zeroes of a polynomial.