Polynomials - High School Math

When simplifying the addition or subtraction of polynomials, we want to combine like terms. First, when we have a negative sign outside our parentheses, we know that we need to distribute that negative; think of it as an imaginary and use the distributive property).

Then, we combine our like terms. Be careful when subtracting.

Rearrange the expression.

Combine terms and simplify.

According to exponent laws, if the bases are the same for the two numbers being divided, you keep the base and subtract the exponents.

Because both terms have the same radical, , you can combine terms.

equals

Combine like terms.

Add the terms together.

In order to solve the problem, simply add the equations.

Combine like terms.

Solve.

When subtracting polynomials you only subtract the integers in front of like termed variables raised to the same power.

So in this case we take the numbers from in front of the variables and subtract them to get

After subtraction we add the variable to get .

The answer is .

When adding polynomials you only add the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and add

After addition we add the variable to get .

When subtracting polynomials you only subtract the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and subtract them

After subtraction we add the variable to get .

The answer is .

When adding polynomials you only add the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers with like-termed variables and combine them .

After subtraction we add the term to get .

The answer is .

When adding polynomials you add the integers in front of like termed variables raised to the same power.

So in this case we take the numbers from, , and add

After addition we provide the variable to get

We have the answer, .

When adding polynomials, add the integers attached to the same integers raised to the same power.

So in this case we take the numbers and add .

After addition we plug the variable back in to get .

Therefore the answer is .

When simplifying polynomials, only combine like terms raised to the same power.

In this case we can subtract the constants:

The answer is then .

When adding polynomials you add the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and add

After addition we add the variable to get

We have the answer .

When subtracting polynomials you only subtract the integers in front of like-termed variables raised to the same power.

So in this case we take the numbers and subtract them

After subtraction we add the variable to get .

The answer is .

When adding variables raised to the same power, add the values in front of the like-termed variables. In this case, we add and to get .

When dividing variables raised to the same power, subtract the power of the bottom term from the power of the top term. In this case, subtract from to find the power of the answer, .

To divide monomials first you look at the coefficients and and perform division .

To divide the exponents and you follow the laws of exponents so you subtract the exponents . That leaves the answer as .

Dividing by a fraction is the same as multiplying by its reciprocal:

becomes

Simplify the fraction by removing factors that are common to the numerator and the denominator to get

In order to simplify one must distribute the divisor into every term of the equation .

Distribute.

Divide and simplify.