Related InterviewSolutions

• Resolve `(3x+5)/((x+2)(3x-1))` into partial fractions.
• Resolve `(ax-b)/((x+1)^(2))` into partical fractions.A. `(a)/(x+1)+(a+b)/((x+1)^(2))`B. `(a)/(x+1)+(a-b)/((x+1)^(2))`C. `(a)/(x+1)-(a-b)/((x+1)^(2))`D. `(a)/(x+1)-(a+b)/((x+1)^(2))`
• Resolve `(ax+b^(2))/(x^(2)-(a+b)^(2))` into partical fractions.A. `(a^(2)+ab+b^(2))/(2(a+b)(x-(a+b)))+(a^(2)+ab-b^(2))/(2(a+b)(x+(a+b)))`B. `(a^(2)+b^(2))/(2(a+b)(x-(a+b)))+(a^(2)-b^(2))/(2(a+b)(x+(a+b)))`C. `(a^(2)-b^(2))/(2(a+b)(x-(a-b)))+(a^(2)+b^(2))/(2(a+b)(x+(a+b)))`D. `(a^(2)+ab+b^(2))/(2(a+b)(x-(a+b)))-(a^(2)+ab-b^(2))/(2(a+b)(x+(a+b)))`
• Resolve `(3x^(2)+7)/(x^(4)-3x^(2)+2)` into partical fractions.A. `(10)/(x^(2)-2)+(5)/(x-1)-(5)/(x+1)`B. `(13)/(x^(2)-2)+(5)/(x+1)-(5)/(x-1)`C. `(5)/(x^(2)-2)+(10)/(x-1)-(10)/(x+1)`D. `(5)/(x-1)-(5)/(x+1)-(13)/(x^(2)-2)`
• If `(x^(3))/((x-1)(x-2))=Ax+B+(C )/(x-1)+(D)/(x-2)`, then `A,B,C` and `D`, respectively are ____________.A. `1,3,1,8`B. `1,-1,3,8`C. `1,3,-1,8`D. `-1,-3,1,8`
• Resolve `(1)/((x-4)(x^(2)+3))` into partical fractions.A. `(1)/(19)[(1)/(x-4)+(x+4)/(x^(2)+3)]`B. `(1)/(19)[(1)/(x-4)+(x+3)/(x^(2)+3)]`C. `(1)/(19)[(1)/(x-4)+(x+3)/(x^(2)+3)]`D. `(1)/(19)[(1)/(x-4)-(x+4)/(x^(2)+3)]`
• Resolve `(6x^(2)-14x+6)/(x(x-1)(x-2))` into partical fractions.A. `(2)/(x)+(3)/(x-1)+(1)/(x-2)`B. `(3)/(x)+(2)/(x-1)+(1)/(x-2)`C. `(1)/(x)+(2)/(x-1)+(3)/(x-2)`D. `(1)/(x)+(3)/(x-1)+(2)/(x-2)`
• Resolve `(2x^(2)+8x+13)/((x+1)^(4))` into partical fractions.A. `(2)/((x+1)^(2))+(5)/((x+1)^(3))+(7)/((x+1)^(4))`B. `(1)/((x+1)^(2))+(5)/((x+1)^(3))+(7)/((x+1)^(4))`C. `(2)/((x+2)^(2))+(4)/((x+1)^(3))+(7)/((x+1)^(4))`D. `(4)/((x+1)^(2))+(5)/((x+1)^(3))+(7)/((x+1)^(4))`
• Resolve `(x^(2)+x+1)/(x^(3)+1)` into partical fractions.A. `(1)/(3(x+1))+(x+1)/(3(x^(2)-x+1))`B. `(-1)/(3(x+1))+(2x+2)/(3(x^(2)-x+1))`C. `(1)/(3(x+1))+(2x+2)/(3(x^(2)-x+1))`D. None of these
• If `(4x^(2)+5x+6)/(x^(2)(x+3))=(A)/(x)+(B)/(x^(2))+(C )/(x+3)`, then `2A+3B+4C=` __________.A. `10`B. `20`C. `30`D. `40`