CQA3 Review 2

CQA3 Review 2

Mistake Method

Multiply the first and last numbers, find factors that will add/subtract to be the middle number, and then set up your parenthesis. Solve these factors for the solutions.

Multiple Choice

Which of these is a factor of

 $f\left(x\right)=2x^2+2x\ -\ 4$  ?

• (x + 2)

• (x + 1)

• (x - 2)

Multiple Choice

What is the root of the quadratic equation

 $x^2+7x+12=0$  that has the least value?

• x = 4

• x = 3

• x = - 3

• x = - 4

Completing the square

Move the constant to the right hand side, use

 $\left(\frac{b}{2}\right)^2$  , add that to both sides, then square root both sides to solve.

Multiple Choice

Which equation is equivalent to  $x^2+16x=36$  ?

•  $\left(x+16\right)^2=36$  

•  $\left(x+16\right)^2=100$  

•  $\left(x+8\right)^2=36$  

•  $\left(x+8\right)^2=100$  

Multiple Choice

What is the sum of the zeros of the function:  $y=5x^2-3x-2$  

• 1

• 7

•  $\frac{3}{5}$  

•  $-\frac{3}{5}$  

Quadratic Formula

 $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Multiple Choice

Which of these would be an un-simplified solution of:  $3x^2-10x+5=0$    when using the quadratic formula to solve?

•  $x=\frac{10\pm\sqrt{40}}{6}$  

•  $x=\frac{-10\pm\sqrt{40}}{6}$  

•  $x=\frac{10\pm\sqrt{40}}{2}$  

•  $x=\frac{-10\pm\sqrt{40}}{2}$  

Difference of Squares

Square root both terms and split up the values into parenthesis!

Multiple Choice

Which of the following expressions is equivalent to:  $36x^{16}-49y^2$  ?

•  $\left(6x^8+7y\right)\left(6x^8-7y\right)$ 

•  $\left(6x^8-7y\right)\left(6x^8-7y\right)$ 

•  $\left(6x^4-7y\right)\left(6x^4+7y\right)$  

•  $\left(6x^4-7y\right)\left(6x^4-7y\right)$