Factor & Solve Review

Fill in the missing portions of the function to rewrite

 $f\left(x\right)=3x^2-30x+48$ to reveal the zeros of the function. What are the zeros of  $f\left(x\right)$ ?
(The first box corresponds to the first number in each answer choice.)

• 8, 2
  -8, -2

• -8, -2
  8, 2

• -8, -7
  8, 7

• 8, 7
  -8, -7

Fill in the missing portions of the function to rewrite

 $g\left(x\right)=6x^2+33x+36$ to reveal the zeros of the function. What are the zeros of  $g\left(x\right)$ ?
(The first box corresponds to the first number in each answer choice.)

•  $1,\ 6$  
   $-\frac{1}{2},\ -6$  
  

•  $-1,\ -6$  
   $\frac{1}{2},\ 6$  
  

•  $-3,\ -4$  
   $\frac{3}{2},\ 4$  
  

•  $3,\ 4$  
   $-\frac{3}{2},\ -4$  
  

Solve the equation  $2x^2-15=7x$ algebracially.

•  $x=-\frac{3}{2},\ 5$  

•  $x=\frac{3}{2},\ -5$  

•  $x=-\frac{5}{2},\ 3$  

•  $x=\frac{5}{2},\ -3$  

Solve the equation  $2a^2-3a=9$ algebracially.

•  $a=-\frac{2}{3},\ 1$  

•  $a=\frac{2}{3},\ -1$  

•  $a=-\frac{3}{2},\ 3$  

•  $a=\frac{3}{2},\ -3$  

Determine all the zeros for the function  $\left(x^2-3x-10\right)\left(x+7\right)$ .

•  $x=-3,\ -10,\ 7$  

•  $x=3,\ 10,\ -7$  

•  $x=5,\ -2,\ -7$  

•  $x=-5,\ 2,\ 7$  

The length of a rectangle is one foot more than 3 times the width. If the area is  $30\ ft^2$ , find the dimensions.

• 15 and 2

• 3 and 10

• 5 and 6

• 4 and 13

What are the x-intercepts of the graph?

• $x=-9,\ 2$

• $x=-5$

• $x=1,\ -5$

• $x=-1,\ 5$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the y-intercept of the graph?

•  $y=5$ 

•  $y=-5$ 

•  $y=-1$ 

•  $y=9$ 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

What is the vertex of the graph?

•  $\left(2,\ -9\right)$ 

•  $\left(-9,\ 2\right)$ 

•  $\left(0,\ -5\right)$ 

•  $\left(-5,\ 0\right)$ 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the axis of symmetry of the graph?

•  $x=2$ 

•  $x=-9$ 

•  $x=0$ 

•  $x=-5$ 

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10