Question

hlpe

Answer 1

we need new equation editor it's very hard to use the default one.

Answer 2

\[f(x)=\frac{ 3x²-3x-168 }{ x-9 }\]
To fined all x-intercepts you need to solve this:
y=0 or in a different way f(x)=0 Notice that Y = f(x).
\[\frac{ 3x²-3x-168 }{ x-9 }=0\]

1- Multiply all terms by the same value
\[(x-9).\frac{ 3x²-3x-168 }{ x-9 }=0\]
2- Cancel multiplied terms
\[{ 3x²-3x-168 }=0\]
3- Please notice the common factor
\[{ 3(x²-x-56 )}=0\]
4- Divide both sides of the equation by the same term
\[{x²-x-56}=0\]

5- quadratic formula

\[x =\frac{ -b \pm \sqrt{b²-4ac} }{ 2a}\]
6- Once in standard form, identify a, b and c from the original equation
\[{x²-x-56}=0\]
\[a=1\]

b=-1

\[c=-56\]

so your answer is
\[x=\frac{ 1\pm15 }{ 2} \]

\[x=8\]
\[x=-7\]