the value of polynomial in x is x²+Kx+5 where k is a constant if x=2 value is 15 calculate the value when x=5
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Given:
The value of the polynomial in x is x²+Kx+5 where K is a constant. The value of the polynomial at x = 2 is 15.
To Find:
The value of the polynomial at x = 5 is?
Solution:
1. The given polynomial in x is x²+ Kx+ 5.
2. The value of the polynomial at x = 2 is 15. Substitute the value of x as 2,
=> x² + Kx + 5 at x = 2,
=> (2)² + K(2) + 5 = 15,
=> 4 + 2K + 5 = 15,
=> 2K = 15 - 9,
=> 2K = 6,
=> K = 6/2,
=> K = 3.
3. The polynomial is x²+ 3x + 5,
=> The value of the polynomial at x = 5 is,
=> (5)²+ 3(5) + 5,
=> 25 + 15 + 5,
=> 45.
Therefore, the value of the polynomial at x = 5 is 40.
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