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Compute the zeroes of the polynomial 4x 2 – 4x – 8. Also, establish a relationship between the zeroes and coefficients.
Compute the zeroes of the polynomial 4x2 – 4x – 8. Also, establish a relationship between the zeroes and coefficients.

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3 months ago Anand Kumar Pandey
3046 Points
```							Dear StudentLet the given polynomial be p(x) = 4x^2– 4x – 8To find the zeroes, take p(x) = 0Now, factorise the equation 4x^2– 4x – 8 = 04x^2– 4x – 8 = 04(x^2– x – 2) = 0x^2– x – 2 = 0x^2– 2x + x – 2 = 0x(x – 2) + 1(x – 2) = 0(x – 2)(x + 1) = 0x = 2, x = -1So, the roots of 4x^2– 4x – 8 are -1 and 2.Relation between the sum of zeroes and coefficients:-1 + 2 = 1 = -(-4)/4 i.e. (- coefficient of x/ coefficient of x^2)Relation between the product of zeroes and coefficients:(-1) × 2 = -2 = -8/4 i.e (constant/coefficient of x^2)Thanks
```
3 months ago
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