What is the value of x2+14x+24, when x=854?
- 742,398
- 741,296
- 100,000
- 10,000
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
*****
ND1-1-2023
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