The number of polynomials `p:R to R` satisfying `p(0)=0,p(x) gtx^(2)` for all `x ne0`, and `p''(0)=(1)/(2)` is

Find all polynomials p satisfying p(x+1)=p(x)+2x+1

The quadratic polynomial p(x) has the following properties: p(x)geq0 for all real numbers, p(1)=0 and p(2)=2 . Find the value of p(3) is__________.

The quadratic polynomial p(x) has the following properties: p(x)geq0 for all real numbers, p(1)=0 and p(2)=2 . Find the value of p(3) is__________.

The quadratic polynomial p(x) has the following properties: p(x)geq0 for all real numbers, p(1)=0 and p(2)=2 . Find the value of p(3) is__________.

The quadratic polynomial p(x) has the following properties: p(x)>=0 for all real numbers,p(1)=0 and p(2)=2. Find the value of p(3) is

The quadratic polynomial p(x) has the following properties: p(x)geq0 for all real numbers, p(1)=0a n dp(2)=2 . Find the value of p(3) is__________.

Find p(0),p(1) and p( 2) for the following polynomial : p(x)=(x-1)(x+1) .

The number of solutions x in(0,pi] satisfying the equation prod_(r=1)^(12)sin rx=0 is p.The value of (1)/(5)(p-6) is

For the polynomial p(x), if p(2) = 0, then ……… is a factor of p(x).

Let p(x) be a function defined on R such that p'(x) = p' (1 - x) , for all x in [0,1], p(0) = 1 and p (1) = 41. Then int_0^1 p(x) dx equals :