Solving Quadratics by Graphing and Factoring

Solving Quadratics by Graphing and Factoring

Multiple Select

To solve a quadratic by graphing is to find where the parabola crosses the x-axis. We call these the ___. Select all that apply.

• zeroes

• x-intercepts

• solutions

• roots

Multiple Choice

We do: Find the roots

• x = -1 x = 3

• x = -2 x = 3

• x = -1 x = 4

Multiple Choice

You do: What are the zeros of the function in the graph?

• (-1, 0) and (1, 0)

• (0, -1) and (0, 1)

• (0, -1)

• (-1, 0) and (1, 0) and (0, -1)

Multiple Choice

We do: Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Multiple Choice

You do: What are the zeros of x²+9x+14

• 2, 7

• -2, -7

• 2, -7

• -2, 7

Multiple Choice

We do: Factor the polynomial completely.

 $4w^2+16w+15$  

•  $\left(2w+5\right)\left(2w+3\right)$  

•  $\left(w+1\right)\left(4w+15\right)$  

•  $\left(2w-3\right)\left(w-5\right)$  

•  $\left(w+5\right)\left(4w+3\right)$  

Multiple Choice

You do: Factor to solve 2x² + 2x - 12 = 0.

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Multiple Choice

We dos: Factor 3x² - 75

• 3( x + 5 ) ( x - 5 )

• Prime

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Multiple Choice

You Do: Factor x² - 400

• ( x - 200) ( x + 200)

• ( x + 20) ( x + 20)

• Prime

• ( x - 20) ( x + 20)

Multiple Choice

Is this a perfect square trinomial?

x² + 14x + 49

• Yes

• No

Multiple Choice

We do: factor 25x² + 60x + 36

• (5x + 6)²

• (5x - 6)²

• (5x + 18)²

• Not a Perfect Square Trinomial

Multiple Choice

You do: Factor x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²