Question

find the zeroes of the quadratic polynomial x2-2x-8 and verify the relationship between the zeroes and their coefficients​

Answer 1

X2-4x+2x-8

x(x-4) 2(x-4)

x-4 and x+2 then

Zeros are 4 and -2

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Answer 2

Answer:

-2,4

Step-by-step explanation:

Let a = x, b= -2, c= - 8

x²-2x-8

x² - 4x + 2x - 8

x (x- 4) + 2 ( x - 4)

(x+2) (x - 4)

So, alpha = - 2, beta = 4

Verification :

Alpha + beta = -b/a

So, - 2 + 4 = - 2 /1

Alpha × beta = c/a

= - 2× 4 = - 8/1

Hence verified and we get the zeros as - 2,4.

Thank you