Algebra

Partial Fractions

Partial Fractions - Irreducible Quadratics

         

If the following is an identity in xx: 9x2+9x3+1=ax+1+bx+cx2x+1,\frac{9x^2+9}{x^3+1}=\frac{a}{x+1}+\frac{bx+c}{x^2-x+1}, what is the value of a+b+ca+b+c?

If the following is an identity in xx: 10x2+1x(x2+1)=ax+bx+cx2+1,\frac{10x^2+1}{x(x^2+1)}=\frac{a}{x}+\frac{bx+c}{x^2+1}, what is the value of a+b+ca+b+c?

If the following is an identity in xx: 9x4x32x+1=ax1+bx+cx2+x1,\frac{9x-4}{x^3-2x+1}=\frac{a}{x-1}+\frac{bx+c}{x^2+x-1}, what is the value of a×b×ca \times b \times c?

If the following is an identity in xx: 5x2+Ax+B(7x+1)(x27x+1)=C(17x+1+1x27x+1),\frac{5x^2+Ax+B}{(7x+1)(x^2-7x+1)}=C\left(\frac{1}{7x+1}+\frac{1}{x^2-7x+1}\right), what is the value of A+B+C?A+B+C?

Which of the following is the partial fraction decomposition of

1x3+x? \frac{ 1} { x^3 + x } ?

×

Problem Loading...

Note Loading...

Set Loading...