Polynomial Operations and Factoring Review

Classifying Polynomials

100

Classify the polynomial based on the degree of the polynomial (constant, linear, quadratic, cubic, etc.)

2

Constant

200

Classify the polynomial based on the degree of the polynomial (constant, linear, quadratic, cubic, etc.)

4x+7

Linear

300

Classify the polynomial based on the degree of the polynomial (constant, linear, quadratic, cubic, etc.)

4x²-3x+2

Quadratic

400

Determine the degree of the polynomial 7t⁴-8t³+t-1

Degree 4

500

Determine the degree of the polynomial 14x²+5x⁶-4x³

Degree 6

Adding/Subtracting

100

Add the polynomials (7n⁴+2)+(n⁴+5n²-4)

8n⁴+5n²-2

200

Add the polynomials (2x²-3x-8)+(8x²+x-6)

10x²-2x-14

300

Subtract the polynomials (2b²-6b-8)-(8b²+3b+6)

-6b²-9b-14

400

Subtract the polynomials (5m³+2m²-8)-(4m³+m-4)

m³+2m²-m-4

500

Subtract the polynomials (a⁵+2a⁴-7)-(4a⁵-4a⁴+5a)

-3a⁵+6a⁴-5a-7

Multiplying

100

Multiply the polynomials 7x²(5x²+x+4)

35x⁴+7x³+28x²

200

Multiply the polynomials (8k+2)(6k-4)

48k²-20k-8

300

Multiply the polynomials (7a-5)(3a-6)

21a²-57a+30

400

Multiply the polynomials (6y-1)(6y²+y-2)

36y³-13y+2

500

Multiply the polynomials (3m+2)(5m³-4m²+8)

15m⁴-2m³-8m²+24m+16

GCF

100

What is the GCF of 8a - 16

Write the polynomial in factored form

GCF = 8

Factored form = 8(a-2)

200

What is the GCF of 3d²-27d

Write the polynomial in factored form

GCF = 3d

Factored form = 3d(d-9)

300

What is the GCF of 12x⁴+16x³

Write the polynomial in factored form

GCF = 4x³

Factored polynomial = 4x³(3x+4)

400

What is the GCF of 9x³-3x²+6x

Write in factored form

GCF = 3x

Factored form = 3x(3x²-x+2)

500

What is the GCF of 18x²y-45xy²+9zy³

Write in factored form

GCF = 9y

Factored form = 9y(2x²-5xy+zy²)

Factoring

100

Factor p²+7p-30

(p-3)(p+10)

200

Factor x²-10x-24

(x+2)(x-12)

300

Factor 6a³-2a²+15a - 5

(2a²+5)(3a-1)

400

Factor 2n²-11n+15

(2n-5)(n-3)

500

Factor 2x²+14x+3

Prime