9.3 Quadratic Functions - Factored Form

X-Intercepts are also know as roots, zeros, and solutions.

• True

• False

Tags

CCSS.HSF-IF.C.7C

Standard form of a quadratic equation

• y=x²
• y=ax²+bx+c
• y=mx+b
• y=x

What are the x-intercepts of the quadratic?

• $x=2;\ x=4$

• $x=-2;\ x=-5$

• $x=2;\ x=5$

• $x=-2;\ x=-4$

Tags

CCSS.HSF-IF.C.7A

Find the zeros of the function:  $\left(x+3\right)\left(x-4\right)=0$  

•  $x=3;\ x=4$  

•  $x=-3;\ x=-4$  

•  $x=-3;\ x=4$  

•  $x=3;\ x=-4$  

Tags

CCSS.HSF-IF.C.7C

Find the zeros of the function: $\left(5x-10\right)\left(x+6\right)=0$ 

•  $x=-\frac{10}{5};\ x=6$  

•  $x=-2;\ x=-\frac{1}{6}$  

•  $x=\frac{1}{2};\ x=\frac{1}{6}$  

•  $x=2;\ x=-6$  

Tags

CCSS.HSF-IF.C.7C

What are the x-intercepts:

(x - 5)(x - 1) = 0

• $x=5;\ x=1$
  

• $x=5;\ x=-1$

• $x=-5;\ x=1$

• $x=-5;\ x=-1$

Tags

CCSS.HSA-REI.B.4B

What are the x-intercepts:

(x - 3)(x + 6) = 0

• $x=-6;\ x=-3$

• $x=3;\ x=-6$
  

• $x=6;\ x=-3$

• $x=3;\ x=6$

Tags

CCSS.HSA-REI.B.4B

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

• x = -1

• x = -1; x = 1

• x = 1

• x = -2; x = 5

Tags

CCSS.HSA-REI.B.4B

Find the roots of the function $\left(8p-3\right)\left(-p-4\right)=0$  

•  $p=\frac{3}{8};\ p=-4$  

•  $p=11;\ p=4$  

•  $p=-\frac{8}{3};\ p=5$  

•  $p=-\frac{3}{8};\ p=3$  

Tags

CCSS.HSA-REI.B.4B

Find the x-intercepts of the function: $3x\left(2x-5\right)=0$  

•  $x=0;\ x=-\frac{2}{5}$  

•  $x=0$  

•  $x=\frac{5}{2}$  

•  $x=0;\ x=\frac{5}{2}$  

Tags

CCSS.HSA-REI.B.4B