Question

Which is the quotient and remainder, written as partial fractions, of startfraction x squared 8 over x squared minus 5 x 6 endfraction?

Answer 1

Answer: C

1+ 17/x-3 - 12/x-2

Happy homeworking Y'all!

Answer 2

To find the quotient and remainder for the division, use polynomial long division. The quotient is 1 and the remainder is 13x + 2.

Step-by-step explanation:

To find the quotient and remainder for the division of x^2 + 8 by x^2 - 5x + 6, we can use polynomial long division.

Step 1: Divide the first term of the numerator x^2 by the first term of the denominator x^2, which gives 1 as the quotient.

Step 2: Multiply the divisor x^2 - 5x + 6 by the quotient 1, which gives x^2 - 5x + 6.

Step 3: Subtract x^2 - 5x + 6 from x^2 + 8 (numerator - (quotient * divisor)), which gives 13x + 2 as the remainder.

Therefore, the quotient is 1 and the remainder is 13x + 2, written as partial fractions.