Question

how do you factor each polynomial expression?​

Answer 1

Answer:

To factor the GCF out of a polynomial, we do the following:

Find the GCF of all the terms in the polynomial.

Express each term as a product of the GCF and another factor.

Use the distributive property to factor out the GCF.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

In mathematics, factorization or factoring is the breaking apart of a polynomial into a product of other smaller polynomials. If you choose, you could then multiply these factors together, and you should get the original polynomial (this is a great way to check yourself on your factoring skills). One set of factors, for example, of 24 is 6 and 4 because 6 times 4 = 24. When you have a polynomial, one way of solving it is to factor it into the product of two binomials.

You have multiple factoring options to choose from when solving polynomial equations:

For a polynomial, no matter how many terms it has, always check for a greatest common factor (GCF) first. Literally, the greatest common factor is the biggest expression that will go into all of the terms. Using the GCF is like doing the distributive property backward.

If the equation is a trinomial — it has three terms — you can use the FOIL method for multiplying binomials backward.

If it’s a binomial, look for difference of squares, difference of cubes, or sum of cubes.

Finally, after the polynomial is fully factored, you can use the zero product property to solve the equation.

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