Polynomials MFC Review

Add and Subtract Polynomials

100

Simplify the following polynomial:

(4v³ − 3v² − 1) + (5v² − 2v + 9)

4v³ + 2v² − 2v + 8

200

Simplify the following polynomial:

(− 2n³ + 4n² + 4n) − (5n⁴ + n³ − 4)

− 5n⁴ − 3n³ + 4n² + 4n + 4

300

Simplify the following polynomial:

2(3x² + 4x + 17) + 4(2x² + 6x − 5)

14x² + 32x + 14

400

Simplify the following polynomial:

7(x³ + 2x² + 4x) − 2(x² + x − 9)

7x³ + 12x² + 26x + 9

Multiply and Divide Polynomials

100

Multiply/Divide the following polynomial:

(2x + 1)(8x − 3)

16x² + 2x − 3

200

Multiply/Divide the following polynomial:

(7a + 7b)(7a² − 8ab + 6b²)

49a³ − 7a²b − 14ab² + 42b³

300

Multiply/Divide the following polynomial:

(v^2 + 14v + 49) /(v + 7)

v + 7

400

Multiply/Divide the following polynomial:

(– x^4 – 3x^3+2x^2 - 10)/(x + 2)

-x^3 -x^2+4x -8 +6/(x+2)

Factoring using GCF

100

Factor the following polynomial using GCF

5r + 4r⁴

r(5 + 4r³)

200

Factor the following polynomial using GCF

12n⁵ + 16n³ 

4n³(3n² + 4)

300

Factor the following polynomial using GCF

72x⁵ − 72x³ − 80x²

8x²(9x³ − 9x − 10)

400

Factor the following polynomial using GCF

−24a²b² + 36ab − 60a

−12a (2ab² + 3b − 5)

Factoring by Grouping

100

Factor the following polynomial using Grouping

m³ − m² + 2m − 2

(m² + 2)(m − 1)

200

Factor the following polynomial using Grouping

12a³ − 9a² + 4a − 3

(3a² + 1)(4a − 3)

300

Factor the following polynomial using Grouping

40xy + 30x − 100y − 75

5(2x − 5)(4y + 3)

400

Factor the following polynomial using Grouping

mz − 5mh² − 5nz + 25nh² 

(m − 5n)(z − 5h²)

Factoring Trinomials

100

Factor the following trinomial

n² + 4n − 12

(n + 6)(n − 2)

200

Factor the following trinomial

2k² − 22k + 60

2(k − 5)(k − 6)

300

Factor the following trinomial

2n² + 3n − 9

(2n − 3)(n + 3)

400

Factor the following trinomial

16b² + 60b − 100

4(b + 5)(4b − 5)