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Example Questions
Example Question #1 : How To Add Polynomials
Subtract from
.
Subtract the first expression from the second to get the following:
This is equal to:
Combine like terrms:
Example Question #1 : How To Add Polynomials
Simplify the following:
Example Question #1 : Simplifying Expressions
Simplify x(4 – x) – x(3 – x).
x
1
x2
0
3x
x
You must multiply out the first set of parenthesis (distribute) and you get 4x – x2. Then multiply out the second set and you get –3x + x2. Combine like terms and you get x.
x(4 – x) – x(3 – x)
4x – x2 – x(3 – x)
4x – x2 – (3x – x2)
4x – x2 – 3x + x2 = x
Example Question #1 : Simplifying Polynomials
Simplify the following expression.
This is not a FOIL problem, as we are adding rather than multiplying the terms in parenteses.
Add like terms to solve.
Combining these terms into an expression gives us our answer.
Example Question #11 : Simplifying Expressions
Simplify the expression.
None of the other answers are correct.
When simplifying polynomials, only combine the variables with like terms.
can be added to
, giving
.
can be subtracted from
to give
.
Combine both of the terms into one expression to find the answer:
Example Question #1 : How To Add Polynomials
Simplify the following expression.
This is not a FOIL problem, as we are adding rather than multiplying the terms in parentheses.
Add like terms to solve.
and
have no like terms and cannot be combined with anything.
5 and -5 can be combined however:
This leaves us with .
Example Question #6 : How To Add Polynomials
Find the LCM of the following polynomials:
,
,
LCM of
LCM of
and since
The LCM
Example Question #7 : How To Add Polynomials
Add:
First factor the denominators which gives us the following:
The two rational fractions have a common denominator hence they are like "like fractions". Hence we get:
Simplifying gives us
Example Question #1 : How To Add Polynomials
Simplify
To simplify you combind like terms:
Answer:
Example Question #21 : Simplifying Polynomials
Combine:
When combining polynomials, only combine like terms. With the like terms, combine the coefficients. Your answer is .
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