Algebra

Partial Fractions

Partial Fractions - Linear Factors

         

If the following is an identity in xx: A(x2)(5x8)=1x2B5x8,\frac{A}{(x-2)(5x-8)}=\frac{1}{x-2}-\frac{B}{5x-8}, what is the value of A+B?A+B?

How many terms would there be in the partial fraction decomposition of

1(x5)(x+5)(x+9)? \frac{1}{ ( x- 5) ( x + 5) ( x + 9 )}?

If the following is an identity in xx:

11x+50(x+2)(x+6)=Ax+2+Bx+6, \frac{11x+50 }{(x+2)(x+6)} = \frac{A}{x+2} + \frac{B}{x+6},

what is the value of A+B? A + B?

Which of the following is the correct partial fraction decomposition of

x+1(x+2)(x+3)? \frac{ x+1 } { ( x + 2) ( x + 3) } ?

If the following is an identity in xx: 5x6x23x+2=ax1+bx2,\frac{5x-6}{x^2-3x+2}=\frac{a}{x-1}+\frac{b}{x-2}, what is the value of a×ba \times b?

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