Question

X2-2x-8 find the zeros of quadratic polynomials and verify the relation between zeros and the coefficient​

Answer 1

Answer:

Step-by-step explanation:

$x^{2} -2x -8\\x^{2} -4x + 2x -8\\x(x-4) +2(x-4)\\(x+2)(x-4)$

therefore the roots are

x = -2, 4

now sum of roots  

= -2 + 4 = 2 which is equal to -b/a of the quadratic equation = -(-2)/1 = 2

also

-2 x 4 = -8 which is equal to c/a of the quadratic equation = -8/1 = -8

Therefore, the sum and product of roots can be identified by the coefficients in the quadratic equation

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