1.

Find the zeros of the polynomial x2 – 3x – m (m + 3).

Answer»

Let f(x) = x2 – 3x – m (m + 3)

Above polynomial can be written as,

f(x) = x2 – (m + 3)x + mx – m(m + 3)

= x(x – m – 3) + m(x – m – 3)

= (x – m – 3)(x + m)

To find the zeroes of f(x), put f(x) = 0

(x – m – 3)(x + m) = 0

Either x – m – 3 = 0 or x + m = 0

x = m + 3 or x = -m

Required Zeros are (m + 3), -m


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