8.1 Adding and Subtracting Polynomials

Classifying Polynomials

100

Find the degree and determine whether it is a monomial, binomial, or trinomial.

5mt+t^2

Degree 2. Binomial

200

Find the degree and determine whether it is a monomial, binomial, or trinomial.

-32

Degree 0. Monomial

300

Find the degree and determine whether it is a monomial, binomial, or trinomial.

4by+2b-by

Degree 1. Binomial.

400

Find the degree and determine whether it is a monomial, binomial, or trinomial.

(3x)/7

Degree 1. Monomial

500

Find the degree and determine whether it is a monomial, binomial, or trinomial.

2c^2 +8c+9-3

Degree 2. Trinomial.

Standard Form

100

Write the polynomial in standard form. Identify the degree. 

3x+1+2x^2

2x^2 +3x+1

2 is the degree 

200

Write the polynomial in standard form. Identify the degree. 

5x-6+3x^2y

3x^2y+5x-6

3 is the degree

300

Write the polynomial in standard form. Identify the coefficienst. 

9x^2+2+x^3+x

x^3+9x^2+x+2

1 & 9 coefficient

400

Write the polynomial in standard form. Identify the constant. 

x^2+3x^3+27-x

3x^3+x^2-x+27

27 is the constant

500

Write the polynomial in standard form. Identify the leading coefficient. 

x-3x^2+4+5x^3

5x^3-3x^2+x+4

5 is leading coefficient

Adding Polynomials

100

(2x+3y)+(4x+9y)

6x+12y

200

(m^2-m)+(2m+m^2)

2m^2+m

300

(2h^2-5h)+(7h-3h^2)

-h^2+2h

400

(5f+g-2)+(-2f+3)

3f+g+1

500

(6k^2+2k+9)+(4k^2-5k)

10k^2-3k+9

Subtracting Polynomials

100

(5a+9b)-(2a+4b)

3a+5b

200

(11m-7n)-(2m+6n)

9m-13n

300

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

-x^2-8x

400

(d^2-d+5)-(2d+5)

d^2-3d

500

(6x^2-x+1)-(-4+2x^2+8x)

4x^2-9x+5

Grab Bag

100

Is the expression below a polynomial? Explain why if your answer is no.

5x^2-3x^4

Yes.

200

Write in standard form.

6g^2-3h^3k+5

-3h^3k+6g^2+5

300

What is the degree?

3x^3y+5x^2y^3-x^3

5 is the degree

400

Is the expression below a polynomial? Explain why if your answer is no.

1/5 y^3+y^2-9

Yes, it's a polynomial.

500

Simplify

(2x^2+5x-2)-(6x^2-3x-1)

-4x^2+8x-1