Factoring Quadratic Functions Area Model

Factor the trinomial: x² + 14x + 49

• (x+7) (x+7)

• (x-7) (x-7)

Factor the trinomial : x² -11x + 30

• (x+5)(x+6)

• (x-10)(x-3)

• (x-5)(x-6)

• (x+10)(x+3)

Factoring the Trinomial: x² + 12x + 27

• (x-9)(x-3)

• (x+5)(x+7)

• (x+9)(x+3)

• (x+9)(x-3)

The rectangle has an area of x² + 11x + 28 square meters and a length of x + 7 meters. What expression represents the width of the rectangle.

• (x + 4)

• (2x + 2)

• (x - 4)

• (2x - 2)

Solve for a by factoring.

a² + 2a - 24 = 0

• a = -6, 4

• a = 6, -4

• a = 12, -2

• a = 8, -3

Which statement about the given equation is true?

• A

• B

• C

• D

Solve for x by factoring.
2x² + 17x + 21 = 0

• x= ^-21/₂, -17

• x= ²/₃, 16

• x=-7, ^-3/₂

• x=15, -³/₇

Which equation is equivalent to2 + 5x - 6 ?>

• h(x) = (x + 6)(x - 1)

• h(x) = (x - 2)(x - 3)

• h(x) = (x - 6)(x + 1)

• h(x) = (x + 2)(x + 3)

A parabola has x-intercepts at (-1, 0) and (3, 0) and passes through the point (0, -12)

Drag and Drop numbers to complete the equation in Factored Form:

y = ​ (a)   (x +​ (b)   )(x -​ (c)   )

• 4

• 1

• 3

• 2

• 8

• 0

• 10

Which quadratic equation models the parabola shown?

• y = (x-2)(x-5)

• y = (x+2)(x+5)

• y = -(x+2)(x+5)

• y = -(x-2)(x-5)