If p(x) be a polynomial such that `p(-a/b)=0`, then one of the factor of p(x) is

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

If a is defined by f (x)=a_(0)x^(n)+a_(1)x^(n-2)+a_(2)x^(n-2)+...+a_(n-1)x+a_(n) where n is a non negative integer and a_(0),a_(1),a_(2),…….,a_(n) are real numbers and a_(0) ne 0, then f is called a polynomial function of degree n. For polynomials we can define the following theorem (i) Remainder theorem: Let p(x) be any polynomial of degree greater than or equal to one and 'a' be a real number. if p(x) is divided by (x-a), then the remainder is equal to p(a). (ii) Factor theorem : Let p(x) be a polynomial of degree greater than or equal to 1 and 'a' be a real number such that p(a) = 0, then (x-a) is a factor of p(x). Conversely, if (x-a) is a factor of p(x). then p(a)=0. The factor of the polynomial x^(3)+3x^(2)+4x+12 is

If p(x) is a polynomial such that p(x^2+1)={p(x)}^2+1 and p(0)=0 then p^1(0) is equal to

Let P(x) be a polynomial such that p(x)-p'(x)= x^(n) , where n is a positive integer. Then P(0) equals-

If p(x) is a polynomial function and p(4)=0 , then which statement is true?

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

Let P(x)=P(0)+P(1)x+P(2)x^(2) be a polynomial such that P(-1)=1 ,then P(3) is :

P(x) is a second degree polynomial with P(1)=0 and P(-2)=0. a) Find two first degree factors of P(x) . b) Find the polynomial P(x) .