Here we shall discuss factoring one type of binomials. The methods of factoring polynomials will be presented according to the number of terms in the polynomial to be factored.Ī monomial is already in factored form thus the first type of polynomial to be considered for factoring is a binomial. You can see similar problems solved by clicking on 'Solve similar' button. This is how our factorization calculator solves the problem above. One factor is the greatest common factor of all the terms of the polynomial. When the terms of a polynomial have a common factor, the distributive law,Īb_1+ab_2+ab_3+.+ab_n=a(b_1+b_2+b_3+.b_n) The least exponent of 3 is 1, of a is 2, and of (x - y) is 2. The greatest common factor of a set of monomials can be found by taking the product of the GCF of the coefficients of the monomials and the common literal bases. The least exponent of 3 is 1 and of 5 is 1. Take the common bases each to its lowest exponent. Write the factors in the exponent form.ģ. Factor the integers into their prime factors.Ģ. The greatest common factor (GCF) of a set of integers is defined as the greatest integer that divides each number of that set of integers.ġ.
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Here we are interested in factoring polynomials with integral coefficients.Ī polynomial is said to be factored completely if it is expressed as the product of polynomials with integral coefficients, and no one of the factors can still be written as the product of two polynomials with integral coefficients.įollowing is a discussion of factoring some special polynomials. Sometimes it is desirable to write a polynomial as the product of certain of its factors. When numbers are multiplied together, each of the numbers multiplied to get the product is called a factor.