How to factor out the GCF of a binomial. Learn how to factor polynomials by GCF. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.
To factor a polynomial by GCF, all we need to do is to identify the GCD (the greatest expression that can divide all the terms of the quadratic without remainder). After identifying the GCD we then express the original quadratic as a product of the GCD and the the factors which when multiplied to the GCD yields the original quadratic.
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