Factoring Trinomials

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 Completely:  6x² + 5x - 6

• 6(x + 1)(x - 6)

• (6x + 6)(x - 1)

• (2x - 3)(3x + 2)

• (3x - 2)(2x + 3)

$Factor\ 7n^2+53n+28$
Type in answer with no spaces

[e.g. (n+?)(n-?)]

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

Factor 6n^2+7n-49
Type in answer with no spaces

[e.g. ?(n+?)(n-?)]

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

• Factoring

• Square Root

• Completing the Square

Tags

CCSS.HSA-REI.B.4B

What characteristics are an indicator that the factoring method could be used to solve the quadratic?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

Tags

CCSS.HSA-REI.B.4B