Solving Quadratics Practice

 $x^2+12x+32=0$  

Solve by factoring

• x=5, x=0

• x=-5, x=6

• x=-8, x=-4

• x=3, x=-7

 $3x^2-20=7x$  

Solve by factoring

•  $x=-\frac{5}{3},\ x=4$  

•  $x=\frac{4}{3\ },\ x=5$  

•  $x=-\frac{6}{7},\ x=-4$  

•  $x=\frac{3}{7},\ x=-3$  

 $3x^2-9x=-4-x$  

•  $x=\frac{2}{3},\ x=3$  

•  $x=-\frac{1}{5},\ x=2$  

•  $x=-\frac{5}{4},\ x=-5$  

•  $x=\frac{2}{3},\ x=2$  

What is standard form for a quadratic equation?

• $y=a\left(x-h\right)^2+k$

• $y=ax^2+bx+c$

• $y=a\left(x-r_1\right)\left(x-r_2\right)$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

What is the quadratic formula?

• $y=a\left(x-h\right)^2+k$

• $y=ax^2+bx+c$

• $y=a\left(x-r_1\right)\left(x-r_2\right)$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

 $2x^2+5x+3=0$  

Identify the a value 

 $2x^2+5x+3=0$  

Identify the b value 

 $2x^2+5x+3=0$  

Identify the c value 

 $2x^2+5x+3=0$  

Solve the equation 

• No Solution 

• x=3, x=-3

• x=-1

• x=-1, x=-1.5

 $-3x^2+108=0$  

Identify the a value