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

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

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

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

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

If (x+2) is a common factor of (px^2+qx+r) and (qx^2+px+r) then a) p=q or p+q+r=0 b) p=r or p+q+r=0 c) q=r or p+q+r=0 d) p=q=-1/2r

Find the value of p for which x+1 is a factor of x^4+(p-3)x^3-(3p-5)x^2+(2p-9)x+6. Find the remaining factor for this value of pdot

A quadratic equations p(x)=0 having coefficient x^(2) unity is such that p(x)=0 and p(p(p(x)))=0 have a common root, then

If 2 + isqrt3 is a root of x^(3) - 6x^(2) + px + q = 0 (where p and q are real) then p + q is

Find p (0) p, (1) and p (2) for each of the following polynomials. (i) p (x) = x ^(2) - x +1 (ii) p (z) =z ^(3) (iii) p (y)=2 + y +2y ^(2) - y ^(3) (iii) p (z) =z ^(3) (iv) p (t) = (t-1) (t +1) (v) p (x) = x ^(2) - 3x +2