TS EAMCET · Maths · Quadratic Equation
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
x4+x3+2x2−2x+1x3+x2 =x+2x2−2x+1x3+x2 =x+Ax+Bx2+Cx+1 [let] ⇒2x2−2x+1=Ax(x+1)+B(x+1)+Cx2 By comparing the coefficients of x2,x and constant terms, we get A+C=2, A+B=-2 and B=1 ⇒A=-3,B=1 and C=5 So, A+B+C=3 and P(x)=x So, A+B+C=P(3)
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