Factoring to find the x-intercepts

Factoring to find the x-intercepts

Multiple Choice

Bell work: find f(x)g(x) multiplication 

 $if\ f\left(x\right)=3x+4\ and\ g\left(x\right)=2x^2+1\$  

•  $6x^3+8x^2+3x+4$  

•  $4x^2+3x-2$  

•  $6x^3+3x+8x+4$  

Objective: Today we will learn to factor quadratic equations to find the x-intercepts (Zeros)

Rules to factor a quadratic

Make sure the equation equals Zero f(x)=0 because you are looking for the x-intercept

If you have two terms factor out a common value (the higher the better)

Most of the time you will have two values, why is that?

If there are three terms, factor by using the tic-tac-toe method

Always check your terms

Multiple Choice

Factor the following equation

 $f\left(x\right)=47x^2-48x$  

• 48

•  $\frac{48}{47}$  

• 47

• no solution 

Multiple Choice

Factor

 $225x^2-1=0$  

•  $\frac{1}{15}$  

•  $-\frac{1}{15}$  

•  $\frac{1}{15\ }and\ -\frac{1}{15}$  

• no solution 

Multiple Choice

Factor

 $f\left(p\right)=2p^2-28p+98$  

• 7

• 2

• 2 and 7

• 44

Multiple Choice

Find the zeros

 $x^2-25x+24=0$  

• 24

• 24, 1

• 7

• -24, -1

Multiple Choice

Find the zeros

 $3x^2-7x-6=0$  

•  $3\ and\ -\frac{2}{3}$  

•  $-\frac{2}{3}$  

•  $Imaginary\ number\$  

•  $7\ and\ 8$  

Multiple Choice

factor

 $f\left(t\right)=4t^2-43t-11$  

•  $11\ and\ \frac{1}{4}$  

•  $11\ and\ -\frac{1}{4}$  

•  $-11\ and\ \frac{1}{4}$  

•  $-\frac{1}{4}\ and\ -11$