Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions. Both 2y and 6 have a common factor of 2: So we can factor the whole expression into: So 2y+6 has been "factored into" 2 and y+3. Factoring is also the opposite of Expanding:

To factor a monomial, write it as the product of its factors and then divide each term by any common factors to obtain the fully-factored form. To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes. To factor a trinomial x^2+bx+c find two numbers u, v that multiply to give c and add to b.

Factoring is a fundamental skill in algebra that involves rewriting mathematical expressions as products of their factors. By factoring, you essentially reverse the multiplication process, breaking down complex expressions into simpler, more manageable parts.

2024年1月17日 · Factoring is an essential skill in algebra as it simplifies expressions and solves equations by revealing their roots. When faced with more complex expressions like a quadratic in the form $ax^2 + bx + c$, I apply techniques such as looking for two numbers that multiply to $ac$ and add up to $b$.

There is a method for simple cases. With the quadratic equation in this form: Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b. Example: 2x2 + 7x + 3. ac is 2×3 = 6 and b is 7. So we want two numbers that multiply together to make 6, and add up to 7. In fact 6 and 1 do that (6×1=6, and 6+1=7)

2024年9月2日 · Determine the greatest common factor (GCF) of natural numbers. Determine the GCF of monomials. Factor out the GCF of a polynomial. Factor a four-term polynomial by grouping. The process of writing a number or expression as a product is called factoring.

2024年7月5日 · In algebra, factorization is a fundamental concept that helps in simplifying expressions and solving equations. Factorization involves breaking down algebraic expressions into simpler components, which aids in understanding their structure and properties. In this article, we'll look at basic methods and examples for factorizing algebraic ...

2022年11月16日 · In this section we look at factoring polynomials a topic that will appear in pretty much every chapter in this course and so is vital that you understand it. We will discuss factoring out the greatest common factor, factoring by grouping, factoring quadratics and factoring polynomials with degree greater than 2.

Factor an expression, binomial or trinomial with our free step-by-step algebra solver

factor: To find all the mathematical objects that divide a mathematical object evenly. degree: the sum of the exponents of a term or the order of a polynomial. quadratic: A polynomial of degree two. To factor an expression means to rewrite it so that it is the product of factors.