##### The minimum number of arithmetic operations required to evaluate the polynomial P(X)

** The minimum number of arithmetic operations required to evaluate the polynomial P(X) = X ^{5} + 4X^{3} + 6X + 5 for a given value of X using only one temporary variable.**

**(A)**6

**(B)**7

**(C)**8

**(D)**9

7

x

^{3}( x^{2}+4) +6x+5let t = x

^{2}= (x*x) t be the temporary variable(t*x*(t+4))+ 6*x +5

No. of arithmetic operations in the above equation = 6

TOTAL number of arithmetic operations = 6+1( for the temporary variable to calculate x

^{2})Answer =7