LESSON - Factoring Quadratics

Factoring Quadratics

Multiple Choice

Identify the values of A, B, and C

10p² + 7p - 20 = 0

• A = 1, B = 7, C = -20

• A = 10, B = 7, C = 20

• A = 10, B = -7, C = -20

• A = 10, B = 7, C = -20

Multiple Choice

In the equation

y = x² + 5x + 7, match each leading coefficient with its correct letter

• a = 0, b = 5, c = 7

• a = 1, b = 5, c = 7

• a = 7, b = 5, c = 1

Multiple Choice

Identify the values of A, B, and C

f(r) = 11r² + 6r - 6

• A = 11, B = -6, C = -6

• A = 11, B = 6, C = 6

• A = 11, B = 6, C = -6

• A = 1, B = 6, C = -6

Multiple Choice

Determine the values of a, b, and c for the quadratic equation:

f(x) = 4x² – 8x - 3

• a = 4, b = -8, c = 3

• a = 4, b = -8, c = -3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

FACTORIZING QUADRATICS
(using the BOX METHOD)

FACTORIZING QUADRATICS
(using the BOX METHOD)

​Now we are going to do it backwards

Draw

Factorize USING THE BOX METHOD

x² + 11x + 24

Draw

Factorize (using the BOX METHOD)

x² + 9x + 20

Multiple Choice

Factor:

x² + 2x – 3

• (x - 2)(x + 1)

• (x + 1)(x - 3)

• (x + 2)(x - 1)

• (x - 1)(x + 3)

Multiple Choice

Factor:
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Multiple Choice

Factor:
x² + 5x - 24

• (x - 8)(x + 3)
• (x + 8)(x - 3)
• (x + 6)(x - 4)
• (x + 12)(x - 2)

FACTORIZING QUADRATICS
(using the BOX METHOD)

Multiple Choice

What method is this?

• Distributive Method

• FOIL Method

• Multiplication Method

• Box Method

Multiple Choice

When using the box method to solve $$x^2-6x+8$$ , which of the following is correct?

Multiple Choice

Using the box method, which is the correct way to solve $$4x^2+9x+2$$  

Multiple Choice

Which is the correct set up for factoring $$10x^2+7x+1$$ using the box method? 

Multiple Choice

What term should go in the blue box?



• 21x^2

• 21x

• 10x^2

• 10x

Draw

Factorize using the BOX method: $$7x^2+10x+3$$

Multiple Choice

Factor: 
$$3x^2+x-2$$  

• $$\left(2x+1\right)\left(x-2\right)$$  

• $$\left(2x-2\right)\left(x+1\right)$$  

• $$\left(3x-2\right)\left(x+1\right)$$  

• $$\left(3x+1\right)\left(x-2\right)$$  

Multiple Choice

Factorize:
$$4x^2-4x-3$$  

• $$\left(4x+1\right)\left(x-3\right)$$  

• $$\left(4x-1\right)\left(x+3\right)$$  

• $$\left(2x-1\right)\left(2x+3\right)$$  

• $$\left(2x-3\right)\left(2x+1\right)$$  

Multiple Choice

Factor:

$$6x^2+13x+6$$  

• $$\left(2x+3\right)\left(3x+2\right)$$  

• $$\left(6x+1\right)\left(x+6\right)$$  

• $$\left(x+2\right)\left(6x+3\right)$$  

• $$\left(3x+1\right)\left(2x+6\right)$$  

SOLVE VIA FACTORIZATION

Video Response

take a video of your solution (via the box method only) via factorizing ONLY: $$-2x^2+13x-15=0$$

Open Video Recorder

Open Ended

Describe in a few sentences your experience with this online lesson