Find P(1) if `P(x)=x^2 + 2x+5`.

Find P (0),P(1) and P(2) for each of the following polynomials. P (x) =2x+1

p(x) =x +2. Find p(1), p (2),p (-1) and p (-2). Which among 1,2,-1 and -2 becomes the 0 of p (x) ?

Write the degree of the polynomial P(x) = x^(3) + 2x^(2) - 5x - 6

Verify whether the following are zeroes of the polynomial, indicated against them . (i) p(x)=3x+1, x=-1/3 (ii) p(x) = 5x-pi,x=4/5 (iii) p(x) = x^2-1,x=1,-1 (iv) p(x) = (x+1) (x-2) , x = -1,2 (v) p(x) =x^2,x=0 (vi) p(x) =lx+m,x=-m/l (vii) p(x)=3x^2-1,x=-1/sqrt3,2/sqrt3 (viii) p(x) = 2x+1,x=1/2

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : i] p(x) = x^(3) - 3x^(2) + 5x - 3, g(x) = x^(2) - 2 ii] p(x) = x^(4) - 3x^(2) + 4x + 5, g(x) = x^(2) + 1 - x iii] p (x) = x^(4) - 5 x + 6 g(x) = 2 - x^(2)

Find the values of the following polynomials: p(x) = -x^(3) + x^(2) - 6x + 5 , when x = 2

Find the quotient and the remainder when P (x) = 3x^(3)+ x^(2)+2x+5 is divided by g(x) = x^(2) +2x+1.

Let for a != a_1 != 0 , f(x)=ax^2+bx+c , g(x)=a_1x^2+b_1x+c_1 and p(x) = f(x) - g(x) . If p(x) = 0 only for x = -1 and p(-2) = 2 then the value of p(2) .