Polynomials pt. 1

Classify

100

Classify the following polynomial by degree and number of terms.

4x+1

Linear binomial

200

Classify the following polynomial by degree and number of terms.

5x^2+3x-5

Quadratic trinomial

300

Classify the following polynomial by degree and number of terms.

8

Constant monomial

400

Classify the following polynomial by degree and number of terms.

9x^4-2x^2

Quartic binomial

500

Classify the following polynomial by degree and number of terms.

x+4-2x^3+7x^2

Cubic polynomial

Add/Subtract

100

Find the sum or difference. Answers must be in standard form.

(k^2-4k+7)+(k^2+9k-3)

2k^2+5k+4

200

Find the sum or difference. Answers must be in standard form.

(3m^2+7m-1)-(m^2+2m-5)

2m^2+5m+4

300

Find the sum or difference. Answers must be in standard form.

(7v-v^2+14)-(15+8v+v^2)

-2v^2-v-1

400

Find the sum or difference. Answers must be in standard form.

(2x^2+3y^2-z^2)-(x^2-y^2-z^2)

x^2+4y^2

500

Subtract

(9r-11s)

   from   

(5r-2s)

-4r+9s

Factoring

100

Factor

x^2+10x+24

(x+4)(x+6)

200

Factor

x^2-25

(x-5)(x+5)

300

Factor

9y^2-49

(3y+7)(3y-7)

400

Factor

10xy-15x

5x(2y-3)

500

Factor. Check for a GCF.

a^3+2a^2-48a

a(a+8)(a-6)

Polynomial x Polynomial

100

Multiply.

(x+2)(x+5)

x^2+7x+10

200

Multiply.

(2x+7)(5x-8)

10x^2+19x-56

300

Multiply.

(16x-8)(3x-6)

48x^2-120x+48

400

Multiply.

(x+5)(x^2+4x-8)

x^3+9x^2+12x-40

500

Multiply.

(x-3)^2

x^2-6x+9

More Factoring

100

Factor.

3x^2+12x

3x(x+4)

200

Factor. Check for a GCF.

b^2-15b+50

(b-5)(b-10)

300

Find the difference of squares. Look for a GCF.

2-8x^2

2(1+2x)(1-2x)

400

Factor.

56a^2bc^3-49ab^2c

7abc(8ac^2-7b)

500

Factor. Check for a GCF.

6x^2y-18xy-168y

6y(x-7)(x+4)