Unit 7 Polynomials Review

Classifying Polynomials

100

Classify based on the degree and number of terms:

x + 3

linear binomial

200

Classify based on the degree and number of terms:

−5a³

cubic monomial

300

Classify based on the degree and number of terms:

x² - x - 20

quadratic trinomial

400

Classify based on the degree and number of terms:

11x⁴ - 15x

quartic binomial

500

Classify based on the degree and number of terms

x⁴ + x³ + x² + x + 100

quartic polynomial

Add/Subtract Polynomials

100

Add the Polynomials

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

5x + 5

200

Add/subtract the polynomials:

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

-10a -7

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

add/subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x²+x+3 

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Multiply/Divide Polynomials

100

Multiply the Polynomials:

3x(2x - 5)

6x² - 15x

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Divide the Polynomials:

(12m⁴ - 6m³) divided by 3m

4m³ - 2m²

400

Multiply the Polynomials:

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

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factor - GCF

100

30x-42

6(5x-7)

200

5a³+2a²

a²(5a+2)

300

x⁴y³ - x⁴y² + y²

y²(x⁴y - x⁴ + 1)

400

2xy² - 10x²y² + 8y⁴ 

2y²(x - 5x² + 4y²)

500

18n⁴+42np+6n-np

n(18n³+42p+6-p)

Factor - DOS

100

p² -25

(p + 5)(p - 5)

200

9z² - 4

(3z+2)(3z-2)

300

16y² - 81x²

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

400

25a⁶ -64b⁴ 

(5a³ + 8b²)(5a³ - 8b²)

500

27n³ - 75np²

3n(3n + 5p)(3n - 5p)