Adding/Subtracting Polynomials

Let's review from yesterday...

Multiple Choice

What kind of polynomial is this?

$$x^2+3x^5+9$$  

• Monomial

• Binomial

• Trinomial

Multiple Choice

How many terms are there?

$$3x^3+2x^2+4x+4$$  

• Five Terms

• Four Terms

• Three Terms

• No terms

​What is the degree of a polynomial?

DEF:

The degree of a polynomial is the highest power of a variable in the polynomial.

Some text here about the topic of discussion

Multiple Choice

What is the degree of the polynomial?

$$2x^5+4x+3$$  

• $$2$$  

• $$5$$  

• $$4$$  

• $$3$$  

Adding Polynomials

​Example:

Multiple Choice

Add the polynomials $$\left(x^2-2\right)$$  and $$\left(x^2+3\right)$$  

• $$x^2+5$$  

• $$2x^2+1$$  

• $$x^2-1$$  

Multiple Choice

Add these polynomials:

$$\left(5x+2\right)+\left(4x+5\right)$$  

• $$9x-7$$  

• $$-9x+11$$  

• $$9x+7$$  

• $$x+7$$  

Multiple Choice

Add these polynomials:

$$\left(2x+5y-z\right)+\left(-6x-4y+7z\right)$$  

• $$-4x+6y+6z$$  

• $$4x+y+6z$$  

• $$-4x-y+6z$$  

• $$-4x+y+6z$$  

​Subtracting Polynomials

To subtract polynomials, first reverse the sign of each term we are subtracting then add as usual!

Multiple Choice

Subtract the following:

$$\left(4x^2+x\right)-\left(x^2+2x\right)$$  

• $$3x^2-x$$  

• $$4x^2+2x$$  

• $$3x^2+3x$$  

• $$3x^2+2x$$  

Multiple Choice

Subtract:

$$\left(4n^4-8n+4\right)-\left(8n^2+4n^4+1\right)$$  

• $$-8n^2-8n+3$$  

• $$-7n-8n+3$$  

• $$-6n^2-8n+3$$  

• $$-7n^2-4n+3$$  

Multiple Choice

Subtract:

$$\left(x^5+3x\right)-\left(6x-x^3+6x^5\right)$$  

• $$-5x^5+2x^3-6x$$  

• $$-5x^3+2x^2-6x$$  

• $$7x^5-6x$$  

• $$-5x^5-6x$$  

Poll

How much do you agree with the statement:

I can add and subtract polynomials!

• Strongly disagree

• disagree

• neutral

• agree

• Strongly agree