find the zeros of the polynomial x square - 2 x - 8
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4,-2
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- We are asked to find the zeroes of the polynomial.
- The polynomial is x² - 2x - 8
We can find the zeroes by splitting the middle term.
⟹ x² - 2x - 8
⟹ x² - 4x + 2x +- 8
⟹ x ( x - 4 ) + 2 ( x - 4 )
⟹ ( x - 4 ) ( x + 2 )
Let us make these equations equal to zero in order to find the value of x.
x - 4 = 0
x + 2 = 0
Hence, 4 & -2 are the zeroes of the given polynomial.
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