Question

If \[ \frac{2x^{6}+3x^{4}+1}{(x^{2}+2)^{4}}=\frac{Ax+P}{x^{2}+2}+\frac{Bx+Q}{(x^{2}+2)^{2}}+\frac{Cx+R}{(x^{2}+2)^{3}}+\frac{Dx+T}{(x^{2}+2)^{4}}, \] then $3P+2Q+R+4T=$

• A. $-1$
• B. $2$
• C. $3$
• D. $0$

Hint:

When a rational identity involves only even powers of $x$, odd-power coefficients must vanish, greatly simplifying the comparison process.

Answer 1

The Correct Option is D