Question

What are the zeros of the quadratic function? f(x)=3x2−300 Enter your answers in the boxes.

Answer 1

Hi there!

We can find the zeros of a function by solving f(x) = 0. We find the following:


`3 {x}^(2) - 300 = 0`
Add 300 to both sides.


`3 {x}^(2) = 300`
Divide by 3.


`{x}^(2) = 100`
Take the root and minus root of both sides.


`x = √(100) = 10 \\ or \\ x = - √(100) = - 10`

Therefore, the zeros are
x = 10 and x = -10.

~ Hope this helps you!