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It means finding numbers (constant terms), or polynomials of the same or smaller order that multiply together to give the original polynomial.

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Q: What does factoring a polynomial mean?
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Continue Learning about Algebra

What is an expression that completely divides a given polynomial?

An expression that completely divides a given polynomial without leaving a remainder is called a factor of the polynomial. This means that when the polynomial is divided by the factor, the result is another polynomial with no remainder. Factors of a polynomial can be found by using methods such as long division, synthetic division, or factoring techniques like grouping, GCF (greatest common factor), or special patterns.


How is factoring a polynomial different from multiplying two binomials?

The same way that factoring a number is different from multiplying two factors. In general, it is much easier to multiply two factors together, than to find factors that give a certain product.


Could you factor the polynomial 3ax-15a plus x-5?

Do you mean (3ax-15a)+(x-5)?If so, then this is simply a matter of factoring by grouping, which you should have learned in pre-algebra.You should show these steps in your work:1. (3ax-15a)+(x-5)- beginning equation2. 3a(x-5)+1(x-5)- factoring it out3. (3a+1)(x-5)- rule of factoring by groupingYou should learn this method, because it is very simple and helps you a lot in factoring chapters.


What does factoring rates mean?

Factoring rates apply to the practice of businesses selling receivables at a discount to a factor, who then collects the funds. The factoring rate is the amount of the discount at which the receivable is purchased.


How can you check your work when factoring a trinomial?

When factoring it is fairly easy to check your answer. Say we want to factor x2+9x+14=0 (x+7)(x+2)=0 now if we want to check then we can just multiply these together and we should get the original polynomial... x2+2x+7x+14=0 x2+9x+14=0