Polynomials Pt. 2

Terminology

100

Is the following a monomial, binomial or trinomial?

-2x²

Monomial

200

What is the degree of -4?

0

300

Name the coefficient, constant and variable of 

5m²+3n-7

5 and 3 coefficients

-7 is constant

m and n are variables

400

Are the following equivalent polynomials?

7-2m²+3m and 3m+7-2m²

Yes

500

One student says, "4a+5 is a binomial." Another student says "4a+5 is a polynomial." Who is correct?

Both!

Subtracting Polynomials

100

(-11n)-(-5n)

-6n

200

(3x+6) - (x-2)

2x+8

300

(3y+7y²+6) - (3y²-5y)

4y²+8y+6

400

(3x²-4) - (-5x²+5x-4)

8x²-5x

500

(5a+2a²-4b²-3b) - (-3b²+6a-7b+4a²)

-a-2a²-b²+4b

Polynomials

100

What is the degree of the following polynomial?

5x+2y-5

1

200

Name the coefficient, constant and variable of:

3m²+2

3, 2, m

300

Are the following equivalent polynomials?

3m+7-2m² and 7-2m²-3m

No

400

Give an example of a trinomial.

answers vary

500

Jennie does not understand how the terms 2m and m² are different. Explain the difference to her.

2m has 2 as coefficient (doubling, m*2)

m² has 2 as exponent (product of m*m)

Adding Polynomials

100

(2x+4) + (3x-5)

5x-1

200

(p+1) + (5p-6)

6p-5

300

(3a²+5ab-3b²) + (3b²-10ab-7a²)

-4a²-5ab

400

Write the perimeter as a sum of polynomials in simplest form if the length is 3t-4 and the width is 2t+1

10t-6

500

(3x²-2y²+xy) + (-2xy-2y²-3x²)

-4x²-xy

Add or Subtract Polynomials

100

(7a²+4ab) + (9ab+2a²)

9a²+13ab

200

(2x+1) - (-3x+5)

5x-4

300

(-7m²+8m-2n+3n²) + (n+2m+5nm)

-7m²+10m-n+3n²+5mn

400

(5e+4f-9e²+5f²) - (-f²-2e²+5f-8e)

13e-f-7e²+6f²

500

(5n+3500) - (4n+1100)

n+2400