Question

Let us find out the roots of a quadratic polynomial y = x square -2x-3​

Answer 1

The roots of a quadratic polynomial are, basically, those points for which the whole equation turns out to be zero(0).

So, Let us assume that f(x) = y = x^2 - 2x - 3.

Thus, for the roots/zeros of the given polynomial, f(x) must be equal to zero(0).

i.e., f(x) =0

=> x^2 - 2x - 3 = 0

By splitting the middle term,

x^2 - 3x + x - 3 = 0

(x - 3)(x + 1) = 0

[x = 3] ....... Or ....... [x = -1]

Hence, the roots of the given quadratic equation are x = 3 or x = -1.

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