SOLUTION: Write an equation for a function with a graph that has x-intercepts at -3, 4 and 6

Algebra ->  Linear-equations -> SOLUTION: Write an equation for a function with a graph that has x-intercepts at -3, 4 and 6      Log On


   

Question 1001378: Write an equation for a function with a graph that has x-intercepts at -3, 4 and 6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

an equation for a function with a graph that has x-intercepts (or zeros) at x%5B1%5D=-3, x%5B2%5D=4 and x%5B3%5D=6 is:
use zero product formula
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=%28x-%28-3%29%29%28x-4%29%28x-6%29
f%28x%29=%28x%2B3%29%28x-4%29%28x-6%29
f%28x%29=%28x%5E2-4x%2B3x-12%29%28x-6%29
f%28x%29=%28x%5E2-x-12%29%28x-6%29
f%28x%29=x%5E3-6x%5E2-x%5E2%2B6x-12x%2B72
f%28x%29=x%5E3-7x%5E2-6x%2B72

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+100%2C+x%5E3-7x%5E2-6x%2B72%29+