" Q11: If "x^(3)<8^(4)" then find the greatest possible integer value of "x" ."

Identify the correct statement If x in Q=>x in Q If x^3 in Qa n dx^7 in Q=>x in Q If x^4 in Qa n dx^(11) in Q=>x in Q

If P = 3x^(3) -5x + 9, Q = 4x^(3) + 5x^(2) -11 and R = 5x^(3) + 4x^(2) -3x +7 , then P -2 Q + R is

If the cubic polynomials x^(3)+ax^(2)+11x+6 and x^(3)+bx^(2)+14x+8 may have a common factor of the form x^(2)+px+q, then (a+p=b+q( b) ap

Find a and b so that x^(3)+ax^(2)+11x+6 and x^(3)+bx^(2)+14x+8 may have one common factor of the form x^(2)+px+q.

" If "f(x)=11^(x)+5^(x)+3^(-x)+((1)/(11))^(x)+((1)/(5))^(x)+3^(x)" then range of "f(x)"

If p,q are roots of the quadratic equation x^(2)-10rx -11s =0 and r,s are roots of x^(2)-10px -11q=0 then find the value of p+q +r+s.

Let polynomial P(x)=x^(5)+2x^(4)-x^(3)+2x^(2)+3 ,is divided by polynomial D(x)=x^(2)-x+2 then we get remainder "R(x)" and quotient "Q(x)" such that P(x)=Q(x)*D(x)+R(x) then : (A) Q(x)=x^(3)+3x^(2)-4x, (B) Q(x)=x^(3)+3x^(2)-4 (C) R(x)=-4x+11, (D) R(x)=4x+11

If f (x)= {{:(x ^(3), , x ∈ Q),(-x ^(3),,x ∉ Q):}, then :

Q 11 to 30