How to multiply polynomials in pre-algebra - High School Math

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Question

What is of ?

Answer

Convert % to a decimal, which is .

Then multiply by to get .

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Question

Simplify:

Answer

First you look at the . Nine is a perfect square, meaning . Because the negative sign is outside the radical, you add it in at the end of the problem, after = . Therefore, the answer is .

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Question

Answer

First you multiply the coefficients and . Then you use the rules of exponents to add the exponents because you are multiplying the bases. This becomes . You then combine the two parts to equal .

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Question

Multiply to find the polynomial.

Answer

Multiply using the FOIL method.

First:

Outside:

Inside:

Last:

Add the terms together to get the final expression.

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Question

Multiply to find the polynomial.

Answer

Multiply using the FOIL method.

First:

Outside:

Inside:

Last:

Add the terms to get the final expression.

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Question

What is the product of and ?

Answer

In order to simplify this problem distribute to each component of .

Distribute.

Multiply and simplify.

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Question

What is ?

Answer

When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.

In this example the powers are and which add to .

Therefore our answer is .

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Question

Answer

When multiplying polynomials you add the powers of each like-termed polynomial together to find the answer.

In this example the powers are and which add to .

Therefore our answer is

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Question

Simplify the expression.

Answer

To simplify, we need to multiply all terms together. It is easiest to re-order the expression and group like terms together.

Now we can simplify.

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Question

What is simplified?

Answer

When multiplying polynomials you add the powers of each like-termed polynomial together so we add the powers of each like-termed variable to find the answer.

In this example the exponents are and so

Our answer is .

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Question

What is simplified?

Answer

When multiplying polynomials, add the powers of each like termed polynomial together to find the answer.

In this example the variables are , and so

Our answer is .

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Question

What is simplified?

Answer

When multiplying monomials with the same base, you simply add the exponents together.

In this example the monomials are , , and so .

Our answer is .

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Question

Multiply the terms.

Answer

Solve using the FOIL method. Don't forget to include the negative sign!

First:

Outside:

Inside:

Last:

Add together, and combine like terms.

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Question

Simplify:

Answer

When multiplying variables, you add the exponents of each like-termed variable together to find the answer.

In this example, the exponents are and so .

Our answer is .

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Question

Simplify

Answer

When multiplying polynomials you add the powers of each like-termed variable together.

In this example the variables are raised to the and so will be the power of in our answer.

Then we multiply the numbers in front of our variables to get .

Combine the number and our new variable to get the answer .

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Question

Combine into a single simplified fraction:

Answer

Multiply to get a common denominator:

Next, using FOIL (first, outer, inner, last) remove the parantheses and then combine like terms to get:

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Question

Simplify .

Answer

Use the distributive property:

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Question

The length of a particular rectangle is greater than the width of the rectangle. If the perimeter of the rectangle is , what is the area of the rectangle?

Answer

If the width is , then the length is . The perimeter equals , so .

solving for , we have

, the width, so the length is .

Then, to find the area we multiply times , which equals .

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