`x^2+a x-a<0.AAx in [2, 3]` then a lies in the interval

f(x)={(a|x^(2)-x-2|)/(2+x-x^(2)),x<2 and b,x=2 and (x-[x])/(x-2),x is continuous at x=2 and [] is GLF.then valueof a and b are

The LCM of the polynomials (x^(2) + x - 2) (x^(2) + x -a) and (x^(2) + x -b) (x^(2) + 5x + a) " is " (x -1) (x +2) (x +3) , then find the values of a and b

Solve the following: |x-2|=(x-2) , |x+2|=-x-3 , |x^2-x|=x^2-x , |x^2-x-2|=2+x-x^2

Evaluate: lim_(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

Evaluate: lim_(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

Evaluate: lim_(x rarr2)(x^(2)-x-2)/(x^(2)-2x-sin(x-2))

If (x^(2)-2x-9)/((x^(2)+x+6)(x+1))=(2x-3)/(x^(2)+x+6)+(A)/(x+1) , then A is ___________.

The factor of x^8 + x^4 +1 are (A) (x^4 + 1 - x^2), (x^2 +1 +x), (x^2 + 1 - x ) (B) x^4 + 1 -x^2 , (x^2 - 1 + x), (x^2 +1 + x) (C ) (x^4 - 1 + x^2, (x^2 - 1 + x), (x^2 + 1 + x) (D) (x^4 -1 + x^2), (x^2 + 1 - x), (x^2 + 1 +x)