Polynomial Basics Review

Polynomial Basics Review

What's a Polynomial?

Multiple Choice

Classify the following expression:
 $-7x$  

• polynomial

• binomial

• trinomial

• monomial

Multiple Choice

Classify the following:

 $2x^4-18x^3+41x^2-41x+90$  

• monomial

• binomial

• trinomial

• polynomial

Multiple Choice

Classify the following expression:

 $-6x^3+7$  
(Select all that apply)

• monomial

• binomial

• trinomial

• polynomial

Multiple Choice

Classify the following expression:

 $3x^2-7x-1$  

• binomial

• trinomial

• polynomial

• polynomial

Degree of Polynomials

To find this:

1. Add all of the exponents for each term to find the degree of that term.

2. The highest degree is the degree.

Example:

Multiple Choice

1) Degree of 2x+5 is ____________

• 2

• 1

• 5

• 4

Multiple Choice

2) Degree of

 $2x^2+50$  is _____

• 50

• 2

• 4

• 1

Multiple Choice

4) Degree of

 $xy+x^2y-xy-z+xyz$   is __________

• 1

• 2

• 3

• 4

Multiple Choice

3) Degree of

 $5a^4+7a^2-3a^9+10$  is ____

• 2

• 4

• 9

• 10

Adding Polynomials

1. Start in alphabetical order and with the highest degree

2. Combine like terms

3. Watch signs (negatives and positives)

Multiple Choice

Add:
 $\left(x^4+2\right)+\left(x^4+7\right)$ 

•  $2x^4+9$  

•  $2x^8+9$  

•  $x^8+9x^4+14$  

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

• None of these

Multiple Choice

Simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7

• 5a³ - 4a² - 14a - 7

• 5a³ - 4a² - 20a - 7

• 5a³ - 9a² - 20a - 7

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x