Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Which expression represents the correct form for the quotient and remainder, written as partial fractions, of

Which Expression Represents The Correct Form For The Quotient And Remainder Written As Partial Fractions Of class=

Sagot :

Answer:

  • [tex]C)~A+ \frac{B}{x-3} +\frac{c}{(x-3)^2}[/tex]

Step-by-step explanation:

→ [tex]\frac{(7x^2-40x+52)}{(x^2-6x+9)}[/tex]

→ [tex]\frac{7x^2-40x+52}{x^2-2.3x+(3)^2}[/tex]

→  [tex]\frac{7x^2-40x+52}{(x-3)^2}[/tex]

So, your answer is C

[tex]----------[/tex]

hope it helps...

have a great day!!

The partial fractions is to start with the simplified, and "decompose" the expression into initial polynomial fractions, and the calculation is as follows:

Partial fractions:

  • The degree of the fraction must be strictly less than the degree of the denominator required to conduct partial fractions.
  • It's critical to keep that in mind. So, once we've established that partial fractions are possible, we factor the denominator to the greatest extent possible.

[tex]\to \frac{7x^2-40x+52}{x^2-6x+9}\\\\\to \frac{7x^2-40x+52}{x^2-(3x-3x)+9}\\\\\to \frac{7x^2-40x+52}{x^2-3x+3x+9}\\\\\to \frac{7x^2-40x+52}{x(x-3)+3(x+3)}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to A+ \frac{B}{(x-3)}+\frac{C}{(x-3)^2}\\\\[/tex]

Find out more about the partial fractions here:

brainly.com/question/24594390

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.