Zeroes of a Polynomial

Find p(0), p(1) and p(2) for the following polynomial:-

p(t) = 2 + t + 2t² – t³

Find the zero of the polynomial in the following case:

p(x) = cx + d, c ≠ 0, c, d are real numbers.

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

p(x) = x², x = 0

Zeros of (2 – 3x) is ___________

If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.

If a, b, c are all non-zero and a + b + c = 0, prove that `a^2/(bc) + b^2/(ca) + c^2/(ab) = 3`.

Find the zeroes of the polynomial in the following:

g(x) = 3 – 6x

If p(x) = x + 3, then p(x) + p(–x) is equal to ______.