To find the product of two polynomials first set up the operation.

Now, multiply each term from the first polynomial with each term in the second polynomial.

Remember the rules of exponents. When like base variables are multiplied together their exponents are added together.

Therefore, the product of these polynomials is,

Combine like terms to arrive at the final answer.

In order to find the sum of two polynomials, we must first set up the operation and identify the like terms.

The like terms in these polynomials are the squared variable, the single variable, and the constant terms.

The sum of these polynomials is equal to the following expression:

In order to find the difference of two polynomials, first identify like terms. The like terms in these polynomials are the squared variable, the single variable, and the constant terms. 

Remember, distribute the negative sign to all terms within the parentheses.

Solve.

The correct answer is .

To find the product of two polynomials, first set up the operation.

Now, multiply each term in the first polynomial by each term in the second polynomial. One way to remember to work through this type of multiplication is by using the acronym FOIL: First, Outside, Inside, Last. You multiply the first numbers in each parenthetical with one another, then the numbers on the outside of the entire list (the first number in the first parenthetical and the last one in the second parenthetical), then the inside numbers (the two middle ones, the last number in the first parenthetical and the first number in the second parenthetical), and finally the last numbers in each parenthetical.

When exponential terms with the same bases are multiplied together, you add the exponents. 

Combine like terms to arrive at the solution.

When the two polynomials are multiplied together, they equal .

In order to solve this problem, we need to perform synthetic division.

We set up synthetic division by writing down the zero of the expression we are dividing by, and the coefficients of the polynomial on a line.

The first step is to bring the coefficient of the  term down.

Now we multiply the zero by the term we just put down, and place it under the  term coefficient.

Now we add the column up to get

Now we multiply the number we got by the zero, and place it under the constant term.

Now we add the column together to get.

The last number is the remainder, so our final answer is .

In order to solve this problem, we need to perform synthetic division.

We set up synthetic division by writing down the zero of the expression we are dividing by, and the coefficients of the polynomial on a line.


The first step is to bring the coefficient of the term down.

Now we multiply the zero by the term we just put down, and place it under the  term coefficient.

Now we add the column up to get

Now we multiply the number we got by the zero, and place it under the constant term.

Now we add the column together to get.

The last number is the remainder, so our final answer is

In order to solve this problem, we need to perform synthetic division.

We set up synthetic division by writing down the zero of the expression we are dividing by, and the coefficients of the polynomial on a line.

The first step is to bring the coefficient of the term down.

Now we multiply the zero by the term we just put down, and place it under the  term coefficient.

Now we add the column up to get

Now we multiply the number we got by the zero, and place it under the constant term.

Now we add the column together to get.

The last number is the remainder, so our final answer is

In order to solve this problem, we need to perform synthetic division.

We set up synthetic division by writing down the zero of the expression we are dividing by, and the coefficients of the polynomial on a line.

The first step is to bring the coefficient of the term down.

Now we multiply the zero by the term we just put down, and place it under the  term coefficient.

Now we add the column up to get

Now we multiply the number we got by the zero, and place it under the constant term.

Now we add the column together to get.

The last number is the remainder, so our final answer is

In order to solve this problem, we need to perform synthetic division.

We set up synthetic division by writing down the zero of the expression we are dividing by, and the coefficients of the polynomial on a line.

The first step is to bring the coefficient of the  term down.

Now we multiply the zero by the term we just put down, and place it under the \uptext{x} term coefficient.

Now we add the column up to get

Now we multiply the number we got by the zero, and place it under the constant term.

Now we add the column together to get.

The last number is the remainder, so our final answer is

In order to solve this problem, we need to perform synthetic division.

We set up synthetic division by writing down the zero of the expression we are dividing by, and the coefficients of the polynomial on a line.

The first step is to bring the coefficient of the  term down.

Now we multiply the zero by the term we just put down, and place it under the \uptext{x} term coefficient.

Now we add the column up to get

Now we multiply the number we got by the zero, and place it under the constant term.

Now we add the column together to get.

The last number is the remainder, so our final answer is