Factoring Quadratics for Zeros

Solve: b² = -35 + 12b RE-ARRANGE AND FACTOR

• b = 5 and 7

• b = -5 and -7

• b = -5 and 7

• b = 5 and -7

Find the factors of 5x²+20x+20

• 5(x+2)(x+2)

• 5(x-2)(x-2)

• 5(x+2)(x-2)

• (5x+2)(x+2)

Factor (hint...take out the greatest common factor first)
2c² + 2c - 84

• (c-6)(2c+14)

• (c+7)(2c-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Factor
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Which of the following represents the function f\left(x\right) \ =\ -\left(x-3\right)\left(x-9\right)

• a

• b

• c

• d

If the zeros of a quadratic equation are −2 and 3, the equation can be written as

• (x − 2)(x + 3) = y

• (x + 2)(x − 3) = y

• (x + 2)(x + 3) = y

• (x − 2)(x − 3) = y

Keith found the zeros of a graph to be \frac{1}{2} and -3 . What would the equation look like in factored form?

• y = (2x + 1)(x + 3)

• y = (2x – 1)(x + 3)

• y = (2x – 1)(x – 3)

• y = (2x + 1)(x – 3)

Given the graph, what are the factors

• (x − 2)(x + 1)

• (x − 2)(x − 1)

• (x + 2)(x − 1)

• (x + 2)(x + 1)