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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

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