AC Method of Factoring

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

• What multiplies to AC

• What multiplies to B

• What adds to C

• What adds to B

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

To factor the trinomial 6x² + 11x +3, start by multiplying "a" times "c" and identifying "b".

• true

• false

(a)  

• F

• G

• H

• J

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

To factor 2x² +11x + 5, write the middle term using the 2 numbers that multiply to ___ and add to ___, make sure to include the "x". Write it like this:

• 10; 11; 2x² + 5x +2x + 5

• 22; 5; 2x² + 9x +2x + 5

• 10; 11; 2x² + 10x +x + 5

• 10; 11; 2x² + x +10x + 5

What should go in the final step?

• (4x + 1) ( x + 2)

• (4x - 1) ( x - 2)

• (4x + 1) ( x - 2)

• 4x (x-2) 1 (x-2)

10x²y⁵ + 25x⁴y²

• 5x²y²(5y³ + 2x²)

• 5x²y²(2y³ + 5x²)

• 5x²y²(5x² + 5y³)

• 5x²y²(2x² + 2y³)

Factor:  x² + 13x + 30

• (x + 3)(x + 10)

• (x + 5)(x + 6)

• (x + 2)(x + 15)

• (x + 1)(x + 30)

Factor:  2x² - 5x + 2

• (2x - 1)(x - 2)

• (2x + 1)(x - 2)

• (2x - 2)(x - 1)

• (2x + 2)(x - 1)

2x³-8x²-x+4

• (2x²-1)(x-4)

• 2(x²-1)(x+4)

• (x²-1)(2x-4)

• (2x²+1)(x-4)