If x - 3 is a factor of p(x) , then the remainder is

If x -2 is a factor of q(x) , then the remainder is "_______________"

(x-3) is a factor of p(x) , if p(_) =0

( x+3) is a factor of p(x) , if p(_) =0

Polynomial P(x) is divided by (x-3) , the remainder if 6.If P(x) is divided by (x^2-9) , then the remainder is g(x) . Then the value of g(2) is ___________.

(3-x) is a factor of p(x) , if p(_) =0

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 (x-2)^(2) is a factor of f(x)=x^(3)+px+q , then find the remainder when d f(x) is divided by x - 1 .

If (x-2)and(x-3) are two factors of f(x)=x^(3)+ax+b , then find the remainder when f(x) is divided by x-5 .