synthetic division

Evaluate the polynomial.

Multiple Choice

 $f\left(x\right)\ =9x^2-5x-10$  

Use the discriminant to identify the number of solutions for this equation

• two real solutions

• One real solution 

• two imaginary solutions 

• One imaginary 

ACT Sample question

Multiple Choice

ACT question when x=-3 and y=-5 by how much does the value $3x^2-2y$  exceed the value of  $2x^2-3y$  

• 4

• 14

• 16

• 20

• 50

Multiple Choice

Identify the mistake while applying the quadratic formula  $f\left(x\right)=-6x_{ }^2-4x-12$  

 $\frac{-4\ \frac{+}{-}\sqrt{\left(-4\right)^2-4\left(-6\right)\left(-12\right)}}{2\left(-6\right)}=\frac{-4\ \frac{+}{-}\sqrt{-272}}{-12}$  

• During step one the denomiantor is not 2(-6) 

• The first value before the  $\frac{+}{-}$  sign is not -4 

• On step 2  $\sqrt{-272\ is\ incorrect\ }$  

• There are not mistakes 

Multiple Choice

Find the mistake when solving the equation  $0=7x^2-32x-60\ \ \ \ \rightarrow\ \ \ \left(7x+10\right)and\ \left(x-6\right)\ \ \rightarrow$   $\rightarrow\ \ 7x+10=0\ and\ x-6=0\ \ \ \ \ \rightarrow\ x=\frac{10}{7}\ and\ x=6$  

• Step #3  $x=6\ is\ wrong\$  

• Step 2:  $\left(7x+10\right)$  

• Step 3  $x=\frac{7}{10\ }is\ incorrect\$  

• Step 2  $\left(x-6\right)\ is\ wrong\$  

Multiple Choice

 $f\left(x\right)=x^2+x-6$  

Identify the vertex for the following equation

•  $\left(\frac{-1}{2},\ \frac{-25}{4}\right)$  

•  $\left(\frac{4}{3},\ \frac{7}{25}\right)$  

•  $\left(5,3\right)$  

•  $\left(-5,3\right)\$