Polynomial Review

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

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

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

DOUBLE POINT QUESTION! 

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

600

(3x+2)+(4x-2)+(x^2-x)

(x^2+6x)

Subtracting Polynomials

100

Subtract the polynomials:

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

-2g + 2

200

Subtract the polynomials:

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

-12h - 8

300

DOUBLE POINT QUESTION! 

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

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

600

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

Multiplying Polynomials

100

Multiply:

3x² (2x⁴)

6x⁶

200

DOUBLE POINT QUESTION! 

Multiply:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply:

−y² (−8x² − 6xy − y² )

8y²x² + 6y³x + y⁴ 

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

DOUBLE POINT QUESTION! 

Multiply the Polynomials:

(3x-6)²

9x² -36x + 36

600

Multiply the following polynomials

(3r + 5)(4r² + 3r + 3)

12r³+29r²+24r +15

Surprise!

100

Monomial or Not? 

3xy^-2     

Not!

200

What is the degree and leading coefficient? 

- 3 - x - 3x⁴+  2x³

Degree= 4, Leading Coefficient= -3 

300

Rewrite in standard polynomial form: 

5 + 3x² + x⁸ - x

x⁸ + 3x² - x + 5

400

What is the maximum number of terms a polynomial with a degree 5 can have? 

6

500

What is the degree of the polynomial? 

x⁵+x²⁰+2³⁰

20 

600

Classify the polynomials based on their number of terms: 

1. 5x⁴ - 3x⁶ + 9

2. 2x² - 7

1. trinomial 

2. binomial