Factoring Quadratics Reteach

Factoring Quadratics Reteach

Objectives

1) Convert standard form of a quadratic to intercept form.

2) Use the linear factors to find x-intercepts.

The Two Forms

Using Factoring to convert Standard Form to Intercept Form

Steps need:

1st- Identify a=___ b= ___ c=___
2nd- Set up the X
3rd- Use calculator to find factors
4th- Simplify factors if needed 
5th- Write in Intercept form

Multiple Choice

Identify a, b and c for, 

 $x^2-7x-18$ .

• a= 1 b =7 c=18

• a= 1 b= -7 c = -18

Multiple Choice

Which is the correct x-factor method set up for factoring

 $x^2-7x-18$  

Multiple Choice

What are the factors of -18 whose sum is -7?

• 2 and 9

• -2 and -9

• -2 and 9

• 2 and -9

Multiple Choice

What is the intercept form of

 $x^2-7x-18$ ?

•  $\left(x+2\right)\left(x+9\right)$  

•  $\left(x-2\right)\left(x-9\right)$  

•  $\left(x+2\right)\left(x-9\right)$  

•  $\left(x-2\right)\left(x+9\right)$  

Multiple Choice

Based on your previous answer, what are the x-intercepts for

$$x^2-7x-18?$$  

• (2,0) and (9,0)

• (-2,0) and (-9,0) 

• (-2, 0) and (9,0) 

• (2,0) and (-9,0)

Multiple Choice

What is the intercept form of

$$x^2-5x-14?$$  

• $$\left(x+2\right)\left(x-7\right)$$  

• $$\left(x-2\right)\left(x+7\right)$$  

Multiple Choice

Based on your previous answer, what are the x-intercepts of

$$x^2-5x-14$$

• x = -2, x = -7

• x = 2, x = -7

• x = -2, x = 7

• x = 2, x=7

Multiple Choice

What is the intercept form of

$$2x^2+17x+21$$ ?

• $$\left(x+3\right)\left(x+14\right)$$  

• $$\left(x-3\right)\left(x-14\right)$$  

• $$\left(2x+3\right)\left(x+7\right)$$  

• $$\left(3x-2\right)\left(x+7\right)$$  

Multiple Choice

Based on your previous answer, what are the x-intercepts for

$$2x^2+17x+21?$$  

• $$\left(\frac{-3}{2},0\right)\ and\ \left(-7,0\right)$$  

• $$\left(0,\frac{2}{3}\right)\ and\ \left(0,7\right)$$  

• $$\left(3,0\right)\ and\ \left(14,0\right)\$$  

• $$\left(0,3\right)\ and\ \left(0,14\right)\$$