Partial Fraction Decomposition (Equating Coefficients): Ex 7

This is Eric Hutchinson from the College of Southern Nevada. Thank you so much for watching!
Please visit my website: www.hutchmath.com for notes, videos, and sample exams for precalculus (MATH 126), trigonometry (MATH 127), and calculus I (MATH 181).

[@ahmednaeem4866]

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[@afg229]

Nice and to the point. Thank you

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thanks!

[@EverchangingU]

Very helpful! Great video

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Lovely explanation

[@hutchmath]

Thank you!

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[@hutchmath]

Your're welcome!

[@loveallah843]

Hello Mr.. You cao solve this problem!!3+v^2= A(v-1)^2 + B(v-1) + c

[@hutchmath]

+Love Allah To solve this problem, first let v = 1. Then 3 + 1^2 = c. Therefore c = 4. Now pick another number for v, any number will work. I will choose v = 0. Then 3 + 0^2 = A(0-1)^2 + B(0-1) + 4. This will leave you with the equation 3 = A - B + 4, so A - B = -1. Now let v = 2. You will get 3 + 2^2 = A(2 - 1)^2 + B(2 - 1) + 4. This simplifies to 7 = A + B + 4. So A + B = -3. So the two equations we have: A - B = -1 and A + B = -3. If you add these equations together you will get 2A = -4 so A = -2. Plug this into either equation to find B = -1.