If x = 2 is a root of the polynomial f (x)= 2x²-3x+7a, find the value of a.

If f(x) = 2x³-13x²+17x+12, find

(i) f(2) (ii) f(-3) (iii) f(0)

Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:

(i) f(x) = 3x+1; x =

(ii) f(x) = x²-1; x = 1, -1

(iii) g(x) = 3x²-2; x = , -

(iv) p(x) = x³-6x²+11x-6, x = 1,2,3

(v) f(x) = 5x-π, x=

(vi) f(x) = x², x=0

(vii) f(x) =1x+m, x=

(viii) f(x) = 2x+1, x =

If x = -1/2 is a zero of the polynomial p (x) = 8x³ - ax² - x + 2, find the value of a.

If x = 0 and x = -1 are the roots of the polynomial f (x) = 2x³-3x²+ax+b, find the value of a and b.