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Question
What should be added to the polynomial x2 − 5x + 4, so that 3 is the zero of the resulting polynomial?
Options
1
2
4
5
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Solution
If `x = alpha`, is a zero of a polynomial then `x -alpha `is a factor of `f(x)`
Since 3 is the zero of the polynomial , f(x) = x2 − 5x + 4,
Therefore `x - 3`is a factor of `f(x)`
Now, we divide`f(x) = x^2 - 5x + 4 ` by `(x - 3)` we get
Therefore we should add 2 to the given polynomial
Hence, the correct choice is (b).
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