What is the value of x2+14x+24, when x=854?

What is the value of x2+14x+24, when x=854?

Explanation

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

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 ND1-1-2023