Question

find the zeroes of the qudratic polynomials and verify the relationship between the zeroes and the coefficients of x^2 -2x-8
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Answer 1

Answer:

Here your answer

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

x²-2x-8=0

This can be written as,

x²-4x+2x-8=0

=x(x-4)+2(x-4)=0

=(x+2)(x-4)=0

Therefore, x = -2 or 4.

Relation between the roots and the coefficients:

1) Sum of roots = -b/a.

LHS = -2+4 = 2.

RHS = -(-2)/1 = 2.

LHS = RHS

Hence Verified.

2) Product of roots = c/a.

LHS = -2×4 = -8

RHS = -8/1

LHS = RHS

Hence Verified.

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