Expanded and Factored Form

Which of the following is the Factored Form of a quadratic function?

• f(x) = mx + b

• f(x) = ax² + bx + c

• f(x) = a(x - m)(x - n)

• f(x) = a(x - h)² + k

What are the x-intercepts of the parabola? y = -3(x + 5)(x - 9)

• (-5, 0) and (9, 0)

• (5,0) and (-9, 0)

• (5, 0) and (9, 0)

• (-3, 0) and (5, 0)and (-9, 0)

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

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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)

Match each expression to its factored form

• 3(x+2)²

• 2(x+3)(x-3)

• (3x-1)(2x+1)

• (x+3)²

Factor the following completely:

20x³ + 15x²

​ (a)   (​ (b)   )

• 5x²

• 4x + 3

• 15x

• 20x²

• 2x + 3

• 5x

• 4x² + 3

Expand and simplify

(x + 1)(x + 2)(x + 3)

• x³ + 6x² + 11x + 6

• x³ + 9x² + 10x + 6

• x³ + 3x² + 7x + 6

• x³ + 10x² + 4x + 9

Expand and simplify the following quadratic expression... (x - 8)(x + 8)

• x² + 16x - 64

• x² + 16x + 64

• x² - 16x + 64

• x² - 64

Expand and simplify:
(m+11)²

• m²+22m+121

• m²+11m+121

• m²+11m +11

• m²+22m +11