Adding and Subtracting Exponents

Adding and Subtracting Polynomials

Believe in Yourself

Classifying Polynomials

Monomial (1), Binomial (2), Trinomial (3), Polynomial (4 or more)

Multiple Choice

How would you classify the following polynomial?

 $3x^2$  

• Monomial

• Binomial

• Trinomial

• Polynomial

Multiple Choice

How would you classify the following polynomial?

 $3x^2-2x+7$  

• Monomial

• Binomial

• Trinomial

• Polynomial

Multiple Choice

How would you classify the following polynomial?

 $5x^3-3x^2-2x+7$  

• Monomial

• Binomial

• Trinomial

• Polynomial

Multiple Choice

How would you classify the following polynomial?

 $5x^3+7$  

• Monomial

• Binomial

• Trinomial

• Polynomial

Degree

The largest exponent in a polynomial

Multiple Choice

What is the degree of the following polynomial?

 $5x^3+7$  

• 5

• 3

• 7

• 1

Multiple Choice

What is the degree of the following polynomial?

 $5x^3+7-61x+5x^7$  

• 5

• 3

• 7

• 1

Multiple Choice

What is the degree of the following polynomial?

 $5x_{\ \ \ \ }^3+8x^9-2x+6$  

• 5

• 8

• 9

• 3

Multiple Choice

What is the degree of the following polynomial?

 $5x_{\ \ \ \ }^3-x^{12}+8x^9-2x+6$  

• 5

• 8

• 9

• 12

Multiple Choice

What is the degree of the following polynomial?

 $5x_{\ \ \ \ }^{ }$  

• 1

• 5

• 3

• 17

Multiple Choice

What is the degree of the following polynomial?

 $5x_{\ \ \ \ }^7-7x^8$  

• 1

• 8

• 3

• 7

Leading Coefficient

The coefficient (number in front of the variable) for the term with the degree.

Multiple Choice

What is the leading coefficient of the following polynomial?

 $5x_{\ \ \ \ }^7-7x^8$  

• 1

• 8

• 3

• -7

Multiple Choice

What is the leading coefficient of the following polynomial?

 $5x_{\ \ \ \ }^7$  

• 5

• 8

• 3

• 7

Multiple Choice

What is the leading coefficient of the following polynomial?

 $5x_{\ \ \ \ }^7-3x+7x^{10}-29$  

• 5

• 8

• 7

• -29

Multiple Choice

What is the leading coefficient of the following polynomial?

 $5x_{\ \ \ \ }^7-x^{12}+7x^{10}-29$  

• 5

• -1

• 10

• -29

Multiple Choice

What is the leading coefficient of the following polynomial?

 $5x_{\ \ \ \ }^7-10x^2+5$  

• 5

• 12

• 10

• -29

Adding Polynomials

Combine only the terms that have the same variable and exponent.

Fill in the Blank

Simplify the following polynomial.

 $3x+5x=$  

Fill in the Blank

Simplify the following polynomial.

 $3x^2+5x^2+2x=\ \ \left[\ \ \ \ \ \right]x^2+2x$  

Fill in the Blank

Simplify the following polynomial.

 $3x^2+5x+2x=\ \ 3x^2+\left[\ \ \ \right]x$  

Fill in the Blank

Simplify the following polynomial.

 $3x^2+x+2x=\ \ 3x^2+\left[\ \ \ \right]x$  

Fill in the Blank

Simplify the following polynomials.

 $\left(x+2\right)+\left(5x+1\right)=\left[\ \ \ \right]x+3$  

Fill in the Blank

Simplify the following polynomials.

 $\left(3x^2+4x+2\right)+\left(5x^2+2x+1\right)=\left[\ \ \ \right]x^2+6x+3$  

Fill in the Blank

Simplify the following polynomials.

 $\left(3x^2+4x+2\right)+\left(5x^2+2x+1\right)=8x^2+\left[\ \ \ \right]x+3$  

Fill in the Blank

Simplify the following polynomials.

 $\left(3x^2+4x-2\right)+\left(5x^2+2x+1\right)=8x^2+6x-\left[\ \ \ \right]$  

Subtracting Polynomials

Switch the sign of every term after the subtraction sign and add.

Fill in the Blank

Simplify the following polynomial.

 $\left(2x\right)-\left(-3x\right)=$  

Fill in the Blank

Simplify the following polynomial.

 $\left(2x^2\right)-\left(-3x\right)-\left(-2x^2\right)=\left[\ \ \ \right]x^2+3x$  

Fill in the Blank

Simplify the following polynomials.

 $\left(2x^2-3x\right)-\left(-2x^2+3x\right)=4x^2+\left[\ \ \ \right]x$  

Fill in the Blank

Simplify the following polynomials.

 $\left(2x^2-3x+6\right)-\left(2x^2-3x+6\right)=$  

Adding or Subtracting Polynomials

Focus only on the variable and exponent, nothing else.

Multiple Choice

Is it possible to add or subtract the following monomials?

 $2x^2,\ 3x$  

• Yes

• No

Multiple Choice

Is it possible to add or subtract the following monomials?

 $-2x^2,\ -3x$  

• Yes

• No

Multiple Choice

Is it possible to add or subtract the following monomials?

 $-2x^2,\ 3x^2$  

• Yes

• No

Multiple Choice

Is it possible to add or subtract the following monomials?

 $-7x^3,\ -7x^6$  

• Yes

• No

You did great; so good in fact that we are giving you Monday off!