Factoring Ax^2 + Bx + C Ac Method

When factoring a TRINOMIAL using the AC-B method, what goes on top of the cross or diamond?

• What adds to B

• What multiplies to AC

• What multiplies to AB

• What adds to AC

To factor 3x² + 14x + 8, find the 2 clue numbers first. The clue numbers are:

• a⋅c =11 and b=14

• a⋅c =14 and b=3

• a⋅c =42 and b=8

• a⋅c =24 and b=14

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

(a)  

• F

• G

• H

• J

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

All of the following can be used in factoring general trinomial \(ax^2+bx+c\ where\ a\ne1\)except:

• AC Method

• Trial and Error Method

• Grouping Method

• FOIL Method

2x² − 3x − 9 = ( ___ + 3) (x − 3)

• x

• 2x

• 3x

• x²

3x² + 5x − 2 = (3x − 1)(x + ___ )

• 2

• 3

• -2

• 5

Factor 4𝑥² + 4𝑥 − 15

Factor 4x²-9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)