If greatest common divisor of `x^(3)-x^(2)+px - 7` and `x^(2)-4x +q` is `(x-1)`, then the value of `p^(2)+q^(2)` is

If the GCD of polynomials x^(3)-3x^(2)+px+24 and x^(2)-7x+2 is (x-2) then the value of (p+q) is

If the polynomial x^(6)+px^(5) +qx^(4) -x^(2)-x-3 is divisible by (x^(4) -1) , then the value of p^(2)+q^(2) is

If (x+a) be a common factor of x^2 + px + q and x^2 + p'x +q' , then the value of a is:

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 .

Suppose a ,b ,c in I such that the greatest common divisor for x^2+a x+b and x^2+bx+c is (x+1) and the least common multiple of x^2+a x+b and x^2+b x+c is (x^3-4x^2+x+6) . Then the value of |a+b+c| is equal to ___________.

Suppose a ,b ,c in I such that the greatest common divisor for x^2+a x+b and x^2+bx+c is (x+1) and the least common multiple of x^2+a x+b and x^2+b x+c is (x^3-4x^2+x+6) . Then the value of |a+b+c| is equal to ___________.

If (x-3) is the HCF of x^(3) - 2x^(2) +px + 6 and x^(2) - 5x +q, find 6p +5q

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

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

If p (x) = x ^(2) -4x+8 and q 9x)=x-3, what is the value of (q (p (5)))/(p (q (5))) ?