If (3x + 5)/((x + 1)(x + 3)) = A/(x + 1) + B/(x + 3) for every admissible x, then B equals:

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2. Multiplying by (x + 1)(x + 3) gives 3x + 5 = A(x + 3) + B(x + 1). Putting x = −3: −4 = −2B, so B = 2; putting x = −1: 2 = 2A, so A = 1. Check: 1/(x + 1) + 2/(x + 3) = [(x + 3) + 2(x + 1)]/((x + 1)(x + 3)) = (3x + 5)/((x + 1)(x + 3)).

If $(3 x + 5) / ((x + 1) (x + 3)) = A / (x + 1) + B / (x + 3)$ for every admissible $x$ , then $B$ equals:

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More Algebra practice

If (3x+5)/((x+1)(x+3))=A/(x+1)+B/(x+3) for every admissible x, then B equals:

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Algebra practice

If $(3 x + 5) / ((x + 1) (x + 3)) = A / (x + 1) + B / (x + 3)$ for every admissible $x$ , then $B$ equals: