Classifying Polynomials
Standard Form
Adding Polynomials
Subtracting Polynomials
Polynomial or Not?
100

Name the polynomial by it's degree and number of terms.

5mt+t^2

Quadratic Binomial
100

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

3x+1+2x^2

2x^2 +3x+1

2 is leading coefficient 

100

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

6x+12

100

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

3a+5

100

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

5x^2-3x^-4

No because we cannot have a negative exponent.
200

Name the polynomial by it's degree and number of terms.

-32

Constant monomial
200

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

5x-6+3x^2

3x^2+5x-6

3 is leading coefficient

200

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

2m^2+m

200

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

9m-13

200

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

6g^2+h^3+k

Yes, it's a polynomial.
300

Name the polynomial by it's degree and number of terms.

4b+2b^3+7 

Cubic trinomial
300

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

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

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

1 is leading coefficient
300

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

-h^2+2h

300

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

-x^2-8x

300

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

(x+3x^4-21x^y)

No because we cannot have negative exponents
400

Name the polynomial by it's degree and number of terms.

(3x)/7

Linear monomial
400

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

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

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

3 is leading coefficient
400

(5f^2+f-2)+(-4f+3)

5f^2-3f+1

400

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

d^2-3d

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

Name the polynomial by it's degree and number of terms.

2c^2 +8c+9-3


Quadratic trinomial
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
500

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

10k^2-3k+9

500

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

4x^2-9x+5

500

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

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

No, exponent cannot be a fraction.