Polynomials

Standard Form/Classifying

100

Classify the polynomial by Degree and Number of Terms

5a² - 6a

Quadratic, Binomial

200

Classify the polynomial by the degree and number of terms:

2x⁵

Quintinc, Monomial

300

Classify the polynomial by Degree and Number of Terms

-6a + 10

Linear, Binomial

400

Classify the polynomial by Degree and Number of Terms

-10k³ + k +1

Cubic, Trinomial

500

Classify the polynomial by Degree and Number of Terms

4x - 9x² + 4x³ - 5x⁴

Quartic, Polynomial

Adding/Subtracting Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Dividing Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(x² - 6x -7) / (x + 1)

x - 7

300

Divide the Polynomials:

(s² + 8s+7) / (s + 7)

s + 1

400

Divide the Polynomials:

(6n² -n - 12)

   3n + 4

n² - n - 72 =  (n - 9/6)(n + 8/6)/ 3n + 4

= (n - 3/2)(n + 4/3)  = (2n - 3)(3n +4)/3n + 4

= 2n - 3

                           

500

Divide the Polynomials:

3y² - 7y - 6

    y - 3

(y - 9/3)(y + 8/3) = (y - 3)(3y + 8)

       y - 3                      y - 3

Answer (3y + 8)

Factoring Polynomials

100

m² - 7m + 12

(m-3)(m-4)

200

5x² - 80x + 300

5(x-6)(x-10)

300

2n² - 5n - 42

(2n+7)(n-6)

400

18k² - 6k - 12

6(3k+2)(k-1)

500

30x² - 27 + 6

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