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Question
Write the zeros of the polynomial x2 − x − 6.
Solution
We have to find the zeros of the polynomial `x ^2 - x-6`
`f(x)= x^2 - x-6`
`f(x)= x^2 - 3x + 2x -6`
`f(x) = x(x-3)+2 (x-3)`
`f(x) = (x + 2) (x - 3)`
We know that if `(x - a)` is a factor of f(x) then x = a is a zero of polynomial
Therefore we have
`x + 2 = 0`
` x = -2`
Also
` x - 3 = 0 `
`x = 3 `
Hence, the zeros of polynomial `x^2 - x- 6` is ` 3 , -2`
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