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Question
If x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k, write the value of k.
Solution
We have to find the value of K if x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k.
`f (x)= x^3 - 2x^2 + 4x + k`
`f(1)= 1^3 -2 (1)^2+ 4 xx1 + k`
`0 = 1 - 2 + 4 + k`
`0 = 5 - 2 + k `
`0 = 3 + k`
` - 3 = k `
Hence, the value of k is k = - 3
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