Question

Evaluate the expression x^3+x^2x for x=4

Answer 1

Answer:

» Given :

f(x) = $x^3+x^{2x}$

» To find:

f(4) =

by replacing x by 4

f(4)= $4^3+4^{2\times4}\\ \\ \\= 4^3+4^8 \\ \\ \\= 64+ 65536\\ \\ \\= 65600$

${\pink{\boxed{f(4)= 65600}}}$

Extra information -

$\underline{\sf{Types\ of\ algebric\ expressions:}} \\ \\ \tt On\ the\ basis\ of\ degree \begin{cases} \rightarrow Linear\\ \rightarrow Quadratic \\ \rightarrow Cubic \\ \rightarrow Biquadratic\end{cases} \\ \\ \\ and \\ \\ \\ \bf On\ the\ basis\ of\ variables \begin{cases} \rightarrow One\ Variable\\ \rightarrow Two\ Variable\end{cases}$

Important theorems -

$\purple{Remainder\:theorem}$- Let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x – a, then the remainder is p(a).

$\purple{Factor\:theorem}$ - Factor theorem states that x – a is a factor of the polynomial p(x), if p(a) = 0.