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Example Questions
Example Question #331 : Variables
Example Question #332 : Variables
Example Question #333 : Variables
Example Question #334 : Variables
Factor completely:
First, take out the greatest common factor of the terms. The GCF of 5 and 50 is 5 and the GCF of
and is , so the GCF of the terms is .When
is distributed out, this leaves .is linear and thus prime, so no further factoring can be done.
Example Question #13 : How To Factor A Polynomial
Factor the following polynomial.
This polynomial is a difference of two squares. The below formula can be used for factoring the difference of any two squares.
Using our given equation as
, we can find the values to use in our factoring.
Example Question #335 : Variables
Factor
When factoring a polynomial that has no coefficient in front of the
term, you begin by looking at the last term of the polynomial, which is . You then think of all the factors of that when added together equal , the coefficient in front of the term. The only combination of factors of that can satisfy this condition is and . Thus, the factors of the polynomial are .Example Question #337 : Variables
Example Question #338 : Variables
Factor the following expression.
The factored form of this equation should be in the format .
To yield the first term in our original equation (
), and .
To yield the last term in our original equation (
), we can set and .
We can check our answer by using FOIL to expand back to the original expression.
Example Question #21 : Factoring Polynomials
Factor the following expression.
The factored form of this equation should have the format
.To yield the first term in our original equation (
), and .
To yield the final term in our original equation (
), we can set and .
If you are unsure of your answer, you can check using FOIL to end up with the original equation.
Example Question #22 : Factoring Polynomials
Factor the following expression.
To factor an expression like this, we can use factoring by grouping. The greatest common factor in the first two terms is
, so should be factored out.
Now, look at the last two terms. The greatest common factor in these terms is
. Factor out the .
Now, both terms in parentheses are
. We can group and together, and multiply it by .
We can check the answer using FOIL to end up with the original expression.
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