If the polynomals `f(x)=x^2+9x+ k and g(x)=x^2+ 10x +1` have a common factor, then `(k -l)^2` isequal to

If f(x)=x^(2)+5x+p and g(x)=x^(2)+3x+q have a common factor, then (p-q)^(2)=

If the polynomials f(x) =x^(2)+5x-pandg(x)=x^(2)-2x+6p have a common factor , then find the common factor .

If x^(2) + ax+ b and x^(2) + bx + c have a common factor (x-k) , then k ="_____" .

IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root, then the value k .

If x^(2)+3x+2=0, x^(2)+6x+k=0 have a common root then p=

If the polynomials f(x)=2x^(3)+x-kandg(x)=3x^(3)+kx-1 be such that f(x) : g(x) = 2 : 3 and if (x - 1) be the common factor of both of them, then prove that k = 1.

If f(x)=kx^(2)-3x+k and g(x) = x - 1 be two polynomials, then g(x) will be a factor of f(x) when k =