# How do I solve f(x)=(x^3-8)/(x^2+5x+6) on a TI-84?

Apr 27, 2018

zero $= \left(2 , 0\right)$

#### Explanation:

Given: $f \left(x\right) = \frac{{x}^{3} - 8}{{x}^{2} + 5 x + 6}$

On a TI-84 select the $Y =$ key and enter in the function

$\text{ }$Y1 = (x^3 - 8)/(x^2 + 5x + 6)

Make sure your WINDOW is in 6:ZStandard

2nd QUIT (above MODE)

GRAPH key (lower right of screen)

To find the solution you are finding $x$-intercepts (zeros).

2ND CALC (TRACE key) 2:zero

Left Bound? Select a point below the x-axis using the arrow keys, then hit ENTER

Right Bound? Select a point above the x-axis using the arrow keys, then hit ENTER

Guess? ENTER (you can move closer to the $x$-intercept, but it isn't necessary unless there are two zeros close to each other).

Zero $= \left(2 , 0\right)$