What is the value of x2+14x+24, when x=854?
(A) 10,000
(B) 100,000
(C) 741,296
(D) 742,398
Answer: (C) 741,296
Solution:
To avoid the consuming calculation, factorize the given polynomial
x2 + 14x + 24 = x2 + 12x + 2x + 24 = x(x + 12) +2(x + 12)
=> (x + 2) (x + 12)
Subtracting the value of x in above
=> (854 + 2) ( 854 + 12) = (856) (866)
=> 741,296