Unit 7 Classifying and Simplifying Polynomials

Name By Terms!

100

What is the name of this term?

Example: 5x

Monomial 

200

What is the name of this term? 

Example 10x + 8

Binomial 

300

What is the name of this term? 

Example: x² -6x +14 

Trinomial

400

What is the name of this term? 

Example: 5x³- x²+ 4x +8

Polynomial

500

What is the name of this term? 

Example: 155x³- 45x²+ 6x +56

polynomial

Standard Form

100

Write in Standard From

3x+1+2x²

2x²+3x+1

200

Write in Standard Form

5w²+w³+28-w

w³+5w²-w+28

300

Write in Standard Form 

k²+64-k+7k³

7k³+k²-k+64

400

Write in Standard Form

2ab+a³+5a²b²+2ab-2b³

a³+5a²b²+2ab-2b³

500

Write in Standard Form 

13-c³+5d³-7c²d²

-c³-7c²d²+5d³+13

Simplify polynomials into standard form

100

Solve, put in standard form

3ab(4a²-7b³)

12a³b-21ab⁴

200

Solve, put in standard form

3xy(x²+xy+y²)

3x³y+3x²y²+3xy³

300

Solve, put in standard form:

-2(3m³+6) +3m(2m²+3m+1)

9m²+3m-12

400

Solve, put in standard form

3v(7v-2) + 3(v²+2v+1) - 3v(-5v+3)

39v²-9v+3

500

Solve, put in standard form:

-2r(r³-6r²+6) + 4r³-(5r⁴+10r)

-7r⁴+16r³-22r

multiplying binomials

100

(x+2) (x+4) 

x²+6x+8

200

(n-1)(5n-4)

5n²-9n+4

300

(4c+d)(7c-2d)

28c²-cd-2d²

400

(2m-5)²

4m²-20m+25

500

(a+3b²)

a²+6ab+9b²

dividing a polynomial by a monomial

100

(6x+9)/(3)

2x+3

200

     8a³-2a²+5a

_____________ 

           a

8a²-2a+5

300

   18c³-21c²+3c

_____________ 

           3c

6c²-7c+1

400

   14x⁶y³-49x⁵y⁹

_____________ 

         -7x⁴y

-2x²y²+7xy⁸

500

28x⁵y⁴z³+8x⁴y³z²

^{___________________}

             4x²y²z²

7x³y²z+2x²y