[" Q1.If "2x-3=x+2" ,then "x=?],[[" (a) "1," (b) "3," (c) "5," (d) "7]]

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

Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{:(x-1"," , x in Q),(x ^(2) -x-2"," , x cancel (in)Q):} h (x) is discontinous at x =……

Define: f (x) =|x^(2)-4x +3| ln x+2 (x-2)^(1//3) , x gt 0 h (x)= {{:(x-1"," , x in Q),(x ^(2) -x-2"," , x cancel (in)Q):} h (x) is discontinous at x =……

If P (x) = (x^(3) + 1) (x-1) and Q (x) = (x^(2) -x +1) (x^(2) -3x +2) , then find HCF of P (x) and Q (x) .

The sum of the polynomials p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1

" If the function "f(x)=[[x^(2)+px+1,,x in Q],[px^(2)+2x+q,,x in Q]" is continuous at "x=1" and "x=2," then "(p+q)" is equal to "

If each pair of the three equations x^(2) - p_(1)x + q_(1) =0, x^(2) -p_(2)c + q_(2)=0, x^(2)-p_(3)x + q_(3)=0 have common root, prove that, p_(1)^(2)+ p_(2)^(2) + p_(3)^(2) + 4(q_(1)+q_(2)+q_(3)) =2(p_(2)p_(3) + p_(3)p_(1) + p_(1)p_(2))

If |x| lt 1 then (d)/(dx ) [1+ (px)/(q) + (p (p+q))/(2 !)((x)/(q))^(2) + (p(p+q) (p+ 2q))/(3!) ((x )/(q))+...]=

A : If (5x+1)/((x+2)(x-1))=A/(X+2)+B/(x-1) " then "A=3, B=2 . R : (px+q)/((x-a)(x-b))=(pa+q)/((x-a)(a-b))+(pb+q)/((b-a)(x-b)) .