If p(1)=3 & p(x)= x^3-3x^2+4x+7k find the value of k
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Given that,
p (x) = x³ - 3x² + 4x + 7k
Now,
p (1) = 3
or, 1³ - 3 (1²) + 4 (1) + 7k = 3
or, 1 - 3 (1) + 4 + 7k = 3
or, 1 - 3 + 4 + 7k = 3
or, 2 + 7k = 3
or, 7k = 3 - 2
or, 7k = 1
or, k = 1/7
Therefore, the value of k is 1/7
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