Question

Decompose (x-1)/(3x^2 -14x+15) into partial factors

Answer 1

Factor the denominator first

Answer 2

well I got this for my final answer but my teacher says it wrong... are the denominators factored correctly? \[(3.2\div(3x-5))+(0.5(x-3))\]

Answer 3

sorry (3.2/(3x-5))+(0.5/(x-3))

Answer 4

yup thats wrong

Answer 5

can someone show me how to do it?

Answer 6

actually i KNOW that my denominators are right but how do I do the numerators

Answer 7

\[\frac{ x-1 }{ (3x-5)(x-3) } = \frac{ A }{ 3x-5 } + \frac{ B }{x-3 }\]

Answer 8

solve for A and B, and that will be your answer.

Answer 9

is this right? 1/(2 (x-3))-1/(2 (3 x-5))

Answer 10

yes

Answer 11

k cool

Answer 12

you got it That's 100% correct