Factoring A Polynomial Math

This video will explain how to factor a polynomial using the greatest common factor.

Factoring a polynomial math. Factoring polynomials can be easy if you understand a few simple steps. Factorin polynomials some of the worksheets for this concept are factoring polynomials factoring polynomials math 51 work factoring polynomials factoring polynomials work answer key factoring polynomials work with answers cp algebra 2 unit 2 1 factoring and solving quadratics cubic and quartic factoring practice date period factoring trinomials a 1 date period. To factor the difference of two squares use the rule to factor a perfect square. Solving polynomial equations by factoring in this section we will review a technique that can be used to solve certain polynomial equations.

We determine all the terms that were multiplied together to get the given polynomial. A 2x 3 8x 3. The following methods are used. Factoring polynomials is done in pretty much the same manner.

When the terms of a polynomial have a common factor the distributive law ab 1 ab 2 ab 3 ab n a b 1 b 2 b 3 b n is used to factor the polynomial. The other factor is the entire quotient obtained by dividing each term of the polynomial by the common factor. Procedures to remove common factors find the greatest common factor and divide each term by it. A b 0 if and only if a 0 or b 0.

The calculator will try to factor any polynomial binomial trinomial quadratic etc with steps shown. We then try to factor each of the terms we found in the first step. Trinomials can be factored by using the trial and error method. We begin with the zero product property 20.

Factoring monomials common factor factoring quadratics grouping and regrouping square of sum difference cube of sum difference difference of squares sum difference of cubes the rational zeros theorem. A 3 b 3 a b a 2 ab b 2 restate each term as a perfect cube and substitute for a and b ignore the signs. This uses the pattern for multiplication to find factors. Pre calculus polynomial factorization calculator menu pre algebra order of operations factors primes fractions long arithmetic decimals exponents radicals ratios proportions percent modulo mean median mode scientific notation arithmetics.

You have multiple factoring options to choose from when solving polynomial equations. This continues until we simply can t factor anymore. One factor is the greatest common factor of all the terms of the polynomial.