Let `p(x) = x^2+bx+c`, where b and c are integers. If p(x) is a factor of both `x^4+6x^2 +25 and 3x^4+4x^2+28x+5`, find the value of p(1).

let P(x)=x^(2)+bx+c, wherer b and c are interger.if P(x) is a factor of both x^(4)+6x^(2)+25 and 3x^(2)+4x^(2)+28x+5 find value of p(1)

Let f(x)=x^(2)+bx+c, where b,c in R. If f(x) is a factor of both x^(4)+6x^(2)+25 and 3x^(4)+4x^(4)+28x+5 then the least value of f(x) is 2 b.3 c.5/2 d.4

Let P(x)=x^2+b x+cw h e r eba n dc are integer. If P(x) is a factor of both x^4+6x^2+25a n d3x^4+4x^2+28 x+5,t h e n a.P(x)=0 has imaginary roots b.P(x)=0 has roots of opposite c.P(1)=4 d .P(1)=6

If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find the value of P.

If x^(2)+2x-5 is a factor of x^(4)-2x^(3)+px^(2) +qx-35 , then find the value of p^(2)-q .

When (x-a) is a factor of (x^3-3x^2a+2a^2x+p) then find the value of p is:

If (x+2) and (x-2) are factors of ax^4 + 2x - 3x^2 + bx - 4 , then the value of a + b is

Given that x^(2)+x-6 is a factor of 2x^(4)+x^(3)-ax^(2)+bx+a+b-1, find the value of aandb.