A polynomial in `x` of degree 3 vanishes when `x=1` and `x=-2` , ad has the values 4 and 28 when `x=-1` and `x=2` , respectively. Then find the value of polynomial when `x=0` .

Find a polynomial in x, of the second degree which vanishes when x = -3 and have values 24 and 62 when x = 3 and x = 4 respectively.

When x lt 3 , find the values of 1//x .

Find the value of the polynomial 5x - 4x^2 + 3 at x = 0 is

When x gt -2 , find the values of 1//x .

f(x)=x^2+ax ,when 0lexle1 and f(x)=3-bx^2 ,when 1lexle2 if limxrarr1f(x)=4 ,then find the value of a and b.

Check whether 3 and -2 are the zeroes of the polynomial p(x) when p(x)=x^(2)-x-6 .

Consider an unknown polynomial which when divided by (x-3) and (x-4) leaves 2 and 1 as remainders, respectively, Let R(x) be the remainder when the polynomial is divided by (x-3) (x-4). If the equation R(x)= x^2+ax+1 has two distinct real roots then values of 'a' are-

If y=int1/(1+x^2)^(3/2)dx and y=0 when x=0 , then value of y when x=1 is

The degree of polynomial 3x^3 + 9x^8 + 2x^2 +1 is