Question

Verify whether the following are zeroes of the polynomial, indicated against them.

(i) p(x) = lm + m, x = -m/l

(ii) p(x) = x2, x = 0

Answer 1

(i) If x = -m/l is a zero of polynomial p(x) = lx + m, then p(-m/l) should be .

Here, p(-m/l) = l(-m/l) + m

= m + m = 0

Therefore, x = -m/l is a zero of the given polynomial.

(ii) If x = 0 is a zero of polynomial p(x) = x2, then p(0) should be zero. Here, p(0) = (0)2 = 0

Hence, x = 0 is a zero of the given polynomial.