Polynomials

Vocab

100

Classify by degree and number of terms.

2x³

3rd degree, 1 term, monomial

200

Classify the polynomial by Degree and Type.

 - 5a² - 6a 

2nd degree 2 terms Binomial

300

If the question says find the product, what are you supposed to do?

Multiply!

400

If the question says Factor, what are you supposed to do?

backwards distribute, or backwards box.  Find the pieces that make the product

500

Write in standard form AND Classify by degree and number of terms.

4x - 9x² + 4x³ - 5x⁴

4th degree, 4 terms, standard form: highest exponent first

Adding + Subtracting Polynomials

100

Add the Polynomials

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

5x + 5

200

Subtract the polynomials:

(-3a - 2) - (7a + 5)

-10a -7

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the polynomials:

(t² + 3t³ -3) - (2t² +7t -2t³)

5t³ - 1t² - 7t - 3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Factoring Polynomials

100

5x² + 10x

5x(x + 2)

200

-20x² +8x

-4x(5x - 2)

300

x² -49

(x +7)(x-7)

400

x² + 7x - 8

(x + 8)(x - 1)

500

2x² + 16x + 30

2(x+5)(x+3)

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:

7(d + 3)(d - 4)

7d² -7d -84

More Multiplying Polynomials

100

Multiply the Polynomials:

5x⁵(3x⁶ - 4x² - 1)

15x¹¹ - 20x⁷ - 5x⁵

200

Multiply the following Polynomials:

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

9x² - 4

300

Multiply the Polynomials:

(2x + 4)²

4x² +16x + 16

400

Multiply the following Polynomials:

(x - 2)(x² + 3x - 4)

x³ + x² - 10x + 8

500

Multiply the Polynomials:

2(x - 3)(x + 7)

2x² + 8x - 42

When a>1

100

3p² - 2p -5

(3p-5)(p+1)

200

2n² + 3n -9

(2n-3)(n+3)

300

3n² - 8n +4

(3n -2)(n - 2)

400

2v² +11v + 5

(2v+1)(v+5)

500

5n² + 19m +12

(5n+4)(n+3)