## Non-repeated linear factors in Denominator -Advance Level

Compared to other sections, Maths is considered to be the most scoring section. If prepared thoroughly, Maths can help students to secure a position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. If the remainders of the polynomial f(x) when divided by x+1,x-2,x+2 are 6,3,15 then the remainder of f(x) when divided by (x+1)(x+2)(x-2) is

•  2x2-3x+1
•  3x2-2x+1
•  2x2-x-3
•  3x2-2x+1

2x2-3x+1

Q2. If (1-cos x)/(cos x(1+cos x))=(sin a/cos x)-(2/(1+cos x)) then a,

•  Ï€/8
•  Ï€/4
•  Ï€/2
•  Ï€

Ï€/2

Q3. (x2)/((x2+ a2)(x2+ b2))=K( (a2/(x2+ a2)) -(b2/(x2+ b2) ))

•  a2- b2
•  1/(a+b)
•  1/(a-b)
•  1/(a2-b2)

1/(a2-b2)

Q4. if partial fraction of (x4+24x2+28)/(x2+1)3 are

•  (1/x2+1) + (22/x2+1)2 +(5/x2+1)3
•  (1/x2+1) + (22/x2+1)2 -(5/x2+1)2
•  (1/x2+1) - (22/x2+1)2 - (5/x2+1)3
•  None of these

(1/x2+1) + (22/x2+1)2 +(5/x2+1)3

Q5.  (2x)/(x4+x2+1)=

•  ((x+1)/(x2-x+1))+((x-1)/(x2+x+1))
•  ((x11)/(x2-x+1))-((x+1)/(x2+x-1))
•  ((x)/(x2-x+1))+((x+1)/(x2+x-1))
•  ((1)/(x2-x+1))-((1)/(x2+x+1))

((1)/(x2-x+1))-((1)/(x2+x+1))

Q6. (x3)/((2x-1)(x+2)(x-3))=(p)+(q/(2x-1))+(r/(x+2))+ (s/(x-3)) then,

•  p=1
•  p=2
•  p=3/25
•  6q-3r+2s=3

6q-3r+2s=3

Q7. The partial fraction of (6x4+5x3+x2+5x+2)/(1+5x+6x2)

•  (x2)+(1/(1+2x))+(1/(1+3x))
•  (x2)-(1/(1+2x))+(1/(1+3x))
•  (x2)+(1/(1+2x))-(1/(1+3x))
•  None of these

(x2)+(1/(1+2x))+(1/(1+3x))

Q8. if (sin2x +1 )/(2sin2x-5sin x+3)=(A/2sin x-3)+(B/(sin x-1)) +C, then

•  A=15/2
•  B=2
•  C=1
•  A+B+C=5

A+B+C=5

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