If p: Mumbai is the capital of India, `q:x^(2)-5x-6=0` when x=2, r : 829 is divisible by 9, which fo them has truth-valueT?

If P : Every natural number is whole number, q : Equation x^(2)-3x+2=0 has two real roots, r :36 is a prime number, which of them has truth-value F?

If x^(5)-5qx+4r is divisible by (x-c)^(2) then which of the following must hold true

What is the condition that the polynomial {x^(2)+(p+q)x+r} is divisible by (x + p + q)?

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

Determine the condition for which the polynomial x^(3)+(p-q)x+r is divisible by (x + p + q).

If the expression px^3 - qx^2 - 7x - 6 is completely divisible by x^2-x- 6 , what are the values of p and q respectively?

(a)If A={x in R:x^2-5x+6=0} and B={x in R:x^2=9} , find AxxB .

The polynomial (px^(2)+qx+r) is divisible by (x^(2)-1) and if x = 0, the value of the polynomial is 2. Determine the values of p, q and r.