If `x+1` is a factor of `x^(4)+(p-3)x^(3)-(3p-5)x^(2)+(2p-9)x+6` then the value of `p`

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

If x+3 is a factor of f(x)=px^(2)+p^(2)x+30 and pgt0 , what is the value of p?

Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider P (x) =x ^(6)-x ^(5) -x ^(3) -x ^(2) -x, then the value of p (a) +p(b) +p(c ) +p(d) is equal to :

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).

If (x^2- 3x + 2) is a factor of x^4-px^2+q=0 , then the values of p and q are

If P(x)=x^(3)-1 then the value of P(1)+P(-1) is