FACTORING POLYNOMIALS: Review#1

Multiplying Polynomials

100

Simplify:  3x(2x-1)

6x²-3x

200

Simplify:  (x+1)(x-5)

x²-4x-5

300

Simplify: (5x-2)(3x+4)

15x²+14x-8

400

Random Trivia! What holiday is the most popular for sending flowers in addition to Valentine’s Day?

Mother’s Day

500

Simplify and write in standard form:   (4-5x)²

25x²-40x+16

Factoring out GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Random Trivia! Which US state only borders one other? 

Maine

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Factoring Trinomials

100

Factor: x²+8x+12

(x+6)(x+2)

200

Factor: m²-11m+18

(m-9)(m-2)

300

Random Trivia! What do you call a baby cow? 

A calf

400

A rectangular garden has an area of (y²-4y-96) ft². Assuming each side is greater than 1 ft, find the possible dimensions.

(y-12) ft by (y+8) ft

500

Factor completely: 2x²-2x-112

2(x-8)(x+7)

Factor by Grouping

100

Random Trivia!  Raisins originated from which fruit? 

Grapes

200

Factor:  12a³ − 9a² + 4a − 3 

(3a² + 1)(4a − 3)

300

Factor:   12n³ + 4n² + 3n + 1 

(4n² + 1)(3n + 1)

400

The area of a rectangular prism is (35xy − 5x − 56y + 8) m². Find the possible dimensions.

(5x − 8) m by (7y − 1) m

500

Factor:  140ab − 60a² + 168b − 72a 

4(5a + 6)(7b − 3a)