Polynomials

Standard Form/Classifying

100

Classify the polynomial by the degree and terms :

2x³

cubic monomial

200

Classify the polynomial by degree and terms.

 - 6a - 5a²

quadratic binomial

300

What is the constant term?

-10k³ + k +1 

1

400

Name the leading coefficient:

10a³ - 6a⁴

-6

500

Classify the polynomial by degree, terms, give the leading coefficient.

4x - 9x² + 4x³ - 5x⁴

quartic polynomial; -5

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

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

4a - 2c + 5

300

Add the polynomials:

(x² +3x + 5) + (-x² + 6x - 5)

9x

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x - 16xy) + (12 - 2xy + 2x²)

3x² -18xy + 2x + 11

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2y + 13) - (7h + 13 + 6y)

-12h - 8y

300

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

400

Subtract the Polynomials:

(5k² - 17) - (3k - 5)

5k²  -3k - 12

500

Subtract   (x+3y)²    from  (3x-5y)².

8x² - 36xy + 16y²

Multiplying Polynomials

100

Multiply:

4x(2x - 6)

8x² - 24x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

400

Multiply the Polynomials:

-3m(4m²+5m)

-12m³ - 15m²

500

Multiply the Polynomials:

(x - 8)(2x + 3)

2x² - 13x - 24

REVIEW

100

Does this parabola have a maximum or a minimum?

f(x) = -(x + 3)(x - 7)

maximum

200

What is the vertex?

f(x) = 3(x - 5)² - 8

(5, -8)

300

What is the y-intercept?

f(x) = 2x² - 5x + 1

(0, 1)

400

What are the roots?

f(x) = -(x + 10)(x - 2)

(-10, 0) and (2, 0)

500

What is the axis of symmetry?

f(x) = (x + 4)² + 2

x = -4