# Common Core: High School - Algebra : Polynomials: CCSS.Math.Content.HSA-APR.A.1

## Example Questions

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### Example Question #1 : Polynomials: Ccss.Math.Content.Hsa Apr.A.1

Given  and  find .

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

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

Remember to distribute the negative sign through to all terms in the second polynomial.

Therefore, the sum of these polynomials is,

### Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given  and  find .

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

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

Therefore, the sum of these polynomials is,

### Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given  and  find .

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

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

Remember to distribute the negative sign through to all terms in the second polynomial.

Therefore, the sum of these polynomials is,

### Example Question #4 : Polynomials: Ccss.Math.Content.Hsa Apr.A.1

Given  and  find .

Explanation:

To find the difference of two polynomials 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.

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

Therefore, the sum of these polynomials is,

### Example Question #1 : Polynomials: Ccss.Math.Content.Hsa Apr.A.1

Given  and  find .

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

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

Therefore, the sum of these polynomials is,

### Example Question #1 : Polynomials: Ccss.Math.Content.Hsa Apr.A.1

Given  and  find .

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

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

Remember to distribute the negative sign to all terms in the second polynomial.

Therefore, the sum of these polynomials is,

### Example Question #2 : Polynomials: Ccss.Math.Content.Hsa Apr.A.1

Given  and  find .

Explanation:

To find the difference of two polynomials first set up the operation and identify the like terms.

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

Remember to distribute the negative sign to all terms in the second polynomial.

Therefore, the sum of these polynomials is,

### Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given  and  find .

Explanation:

To find the sum of two polynomials first set up the operation and identify the like terms.

The like terms in these polynomials are the squared variable.

Therefore, the sum of these polynomials is,

### Example Question #1 : Arithmetic With Polynomials & Rational Expressions

Given  and  find .

Explanation:

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.

### Example Question #1 : Arithmetic With Polynomials & Rational Expressions

If ,  and , what is the value of