Find the order 3 Taylor polynomial T3(x)\displaystyle {T}_{{3}}{\left({x}\right)} of function given. Use exact values.
f(x)=(5x+24)21\displaystyle {f{{\left({x}\right)}}}={\left(-{5}{x}+{24}\right)}^{{\frac{{2}}{{1}}}} at a=4\displaystyle {a}={4}.
T3(x)=\displaystyle {T}_{{3}}{\left({x}\right)}=