Question

31. The zeros of the polynomial p(x) = x2 - 3x are
(a) 0,0
(b) 0,3
(c) 0,3
(d) 3,-3​

Answer 1

p(x) = x2 - 3x

Calculation

p(x) = x2 - 3x

Now we need to find out zeroes of p(x), so p(x) must be equal to zero

p(x) = x2 - 3x = 0

⇒ x2 - 3x = 0

⇒ x(x - 3) = 0

∴ x = 0 and x - 3 = 0

So, x = 0 and 3

∴ Zeroes of polynomial p(x) will be 0, 3.