Box Method for Quadratic Functions

Which equation has the same solutions as  5x² - 11x - 12 = 0?

• (5x - 4)(x + 3) = 0

• (5x + 3)(x - 4) =0

• (5x + 4)(x - 3) = 0

• (5x - 3)(x + 4) = 0

Answer explanation

Remember that the solutions have the opposite signs from the factored form.

Which of the following is a factor of x² - 9x + 20?

(Hint: Use the Box Method to factor.)

• (x + 4)

• (x - 5)

• (x + 10)

• (x - 2)

Answer explanation

This is another way to do the Box Method.

What are the zeros of the function f(x) = 24x² - 37x - 5.

(Hint: Use the box method or Desmos.)

Answer explanation

Remember that the solutions have the opposite signs from the factored form. Another word for solutions, roots or x-intercepts is zeros.

To finish factoring a quadratic, Jose began to take the GCF of every row and column. Identify what term would fill each space. Space A: ​ (a)   ​ Space B:​ (b)   ​ Space C: ​ ​ (c)   ​ Space D:​ (d)   ​

To finish factoring a quadratic, Jose began to take the GCF of every row and column.

Identify what term would fill each space.

Space A: ​ (a)   ​ Space B:​ (b)   ​

Space C: ​ ​ (c)   ​ Space D:​ (d)   ​

• 
• 
• 
• 

Answer explanation

Remember that the solutions have the opposite signs from the factored form. Another word for solutions, roots or x-intercepts is zeros.

Find all the solutions to 5x² + 3x = −2.(Hint: Use the box method or Desmos (use y =). Remember to set equal to 0 FIRST)

• 2/5 and -1

• -2/5 and 1

• 3/5 and -1

• No Real Solutions

Answer explanation

Remember that the solutions have the opposite signs from the factored form. Another word for zeros, roots or x-intercepts is solutions. If using Desmos, set the equation to y =.

Find the zeros of 5x² + 2x = 2.

Answer explanation

Remember that the solutions have the opposite signs from the factored form. Another word for solutions, roots or x-intercepts is zeros. If using Desmos, set the equation to y =.

Determine what two terms would be placed in the two boxes: (select 2)

• x

• 7x

• 3x

• 21x

Select which monomial belongs in the last box:

• 1

• 4x

• -16

• 6