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.

$x = \sqrt{100} = 10 \\ or \\ x = - \sqrt{100} = - 10$

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

~ Hope this helps you!