Factoring Trinomials Lesson Easy

Factoring General Trinomials (Module 2 Lesson 3)

What's In

Check all the possible factors for the given number.

Example:

Factors of 4

(1)(4) = 4

(-1)(-4) = 4

(2)(2) = 4

(-2)(-2) = 4

Multiple Select

Factors of 8

• (2)(4)

• (-2)(-4)

• (1)(8)

• (-1)(-8)

• (4)(4)

Multiple Select

Factors of 9

• (1)(9)

• (-1)(-9)

• (3)(6)

• (3)(3)

• (-3)(-3)

Multiple Select

Factors of 12

• (1)(12)

• (-1)(-12)

• (3)(4)

• (2)(6)

• (-2)(-6)

Factor Pair

Choose the appropriate factor pair.

e.g factors of 9 whose sum is 10

answer: (1)(9)

because (1)(9) = 9 and 1+9 = 10

Multiple Choice

Factors of 6 whose sum is 5.

• (6)(1)

• (3)(2)

• (-6)(-1)

• (-3)(-2)

Multiple Choice

Factors of 4 whose sum is 5.

• (-4)(-1)

• (2)(2)

• (-2)(-2)

• (4)(1)

Multiple Choice

Factors of 12 whose sum is 8.

• (6)(2)

• (4)(3)

• (12)(1)

• (-6)(-2)

Multiple Choice

Factors of 16 whose sum is 8.

• (-4)(-4)

• (8)(2)

• (4)(4)

• (16)(1)

Multiple Choice

Factors of 15 whose sum is 8.

• (5)(3)

• (-5)(-3)

• (15)(1)

• (-15)(1)

Choose the correct answer for the missing term

e.g. Factors of 20x² whose sum is 9x: (4x): (__)

answer: 5x

because (4x)(5x) = 20x² and 4x+5x = 9x

Multiple Choice

Factors of 25b² whose sum is 10b:

(5b)(__)

• 2b

• 3b

• 4b

• 5b

Multiple Choice

Factors of 4m² whose sum is 4m:

(2m)(__)

• m

• 2m

• 3m

• 4m

Multiple Choice

Factors of -14a² whose sum is -5a:

(-7a)(__)

• -2a

• -a

• a

• 2a

Multiple Choice

Factors of 21x²y² whose sum is 10xy:

(7xy)(___)

• xy

• 2xy

• 3xy

• 4xy

Multiple Choice

Factors of 81h⁴k⁶ whose sum is 18h²k³:

(9h²k³)(___)

• 8h²k³

• 9h²k³

• 10h²k³

• 11h²k³

Open Ended

What is the area? and what are the dimensions?

Open Ended

What is the area? and what are the dimensions?

Open Ended

What is the area? and what are the dimensions?

Open Ended

What patterns can be observed in the areas and dimension of the squares?

What's More

Choose the factors of the given trinomial.

Poll

Factor completely:

x²+7x+12

• (x+6)(x+4)

• (x+8)(x-6)

• (x-4)(x-2)

• (x+4)(x+3)

• (x+1)(x-8)

Poll

Factor completely:

x²-6x+8

• (x+6)(x+4)

• (x+8)(x-6)

• (x-4)(x-2)

• (x+4)(x+3)

• (x+1)(x-8)

Poll

Factor completely:

x²-7x-8

• (x+6)(x+4)

• (x+8)(x-6)

• (x-4)(x-2)

• (x+4)(x+3)

• (x+1)(x-8)

Multiple Choice

Factor completely:

x²+4x-32

• (x+6)(x+4)

• (x+8)(x-6)

• (x+8)(x-4)

• (x-6)(x+12)

Multiple Choice

Factor completely:

x²-4x+3

• (x+2)(x-10)

• (x-1)(x-3)

• (x+8)(x-4)

• (x-6)(x+12)

Multiple Choice

Factor completely:

x²-8x-20

• (x+2)(x-10)

• (x-1)(x-3)

• (x+8)(x-4)

• (x-6)(x+12)

Multiple Choice

Factor completely:

x²+6x-72

• (x+2)(x-10)

• (x-1)(x-3)

• (x-6)(x+12)

• (x-4)(x+6)

Multiple Choice

Factor completely:

x²+2x-48

• (x+2)(x-10)

• (x+8)(x-4)

• (x+8)(x-6)

• (x-4)(x+6)

Multiple Choice

Factor completely:

x²-9x+18

• (x-3)(x-6)

• (x+8)(x-4)

• (x+8)(x-6)

• (x-1)(x+9)

Multiple Choice

Factor completely:

x²+10x+24

• (x-3)(x-6)

• (x-4)(x+6)

• (x+8)(x-6)

• (x+6)(x+4)