Factoring Trinomials Using the Swing & Divide Method

What is a trinomial?

• An expression with two terms

• An expression with three terms

• An expression with four terms

• An expression with one term

What does the 'a' in a trinomial ax^2 + bx + c represent?

• Coefficient of x

• Constant term

• Coefficient of x^2

• None of the above

Which method uses a 'swing' technique in factoring?

• Factor by grouping

• Quadratic method

• Swing and divide method

• Grouping method

How do you check if your factoring answer is correct?

• By dividing the factors

• By adding the factors

• By graphing the equations

• By subtracting the factors

Tags

CCSS.HSA.REI.A.1

What is the result of dividing a number by 1 in the context of factoring?

• The number stays the same

• The number increases

• The number decreases

• The number becomes zero

What happens if the 'a' value in a trinomial is not 1?

• Factoring becomes impossible

• Factoring becomes easier

• Additional steps are required in factoring

• The trinomial cannot be solved

Tags

CCSS.HSA-REI.B.4B

What does it mean if a trinomial cannot be factored?

• It is not a valid mathematical expression

• It has no real solutions

• It has multiple solutions

• It has no factors that meet the criteria

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

In the context of trinomials, what does solving the 'x puzzle' involve?

• Graphing the trinomial on a calculator

• Finding values that sum to 'b' and multiply to 'ac'

• Multiplying the coefficients of x and x^2

• Dividing the trinomial by x

Tags

CCSS.HSA.REI.B.4

What is the correct set of factors for a trinomial with a=1, b=8, and c=15?

• (x + 3)(x + 5)

• (x - 4)(x - 6)

• (x - 3)(x - 5)

• (x + 4)(x + 6)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.B.3

What should you do if you cannot find factors that multiply to 'ac' and add to 'b'?

• All of the above

• Declare the trinomial as unfactorable

• Assume the trinomial is incorrect

• Check for calculation errors

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3