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`x^3-2x^2-x+2`

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Let f(x)={((x^3+2x^2-x-2)/(x^3-2x^2-x+2), for |x| lt 1),(x^2+ax+b, for |x| ge 1):} be continuous for all x . Now answer the question:The values of a and b are given by (A) a=-8/3,b=-4/3 (B) a=4/3,b=-8/3 (C) a=-4/3,b=-8/3 (D) a=-4/3,b=8/3

Let f(x)={((x^3+2x^2-x-2)/(x^3-2x^2-x+2), for |x| lt 1),(x^2+ax+b, for |x| ge 1):} be continuous for all x . Now answer the question:The values of a and b are given by (A) a=-8/3,b=-4/3 (B) a=4/3,b=-8/3 (C) a=-4/3,b=-8/3 (D) a=-4/3,b=8/3

Find the value of the polynomial p(x)=x^(3)-2x^(2)-2x-3 at x=3 .

Locate the points of discontinuity of the following functions: f(x) = {:{((x^3-x^2+2x-2, x ne1),(4,x=1):}

Simplify 5(2x-3)-x(3-2x)+2x^(2)

Number of integers in the range of the function f(x) = (x^3 + 2x^2 + 3x + 2) / (x^3+2x^2+2x+1) : x in R-{0} is :

Evaluate lim_(x->0^-) (x^2-3x+2)/(x^3-2x^2)

Evaluate lim_(x->0^-) (x^2-3x+2)/(x^3-2x^2)

Evaluate the int(x^4+x^3+x^2+x+2)/(x^2+1)dx