Asked by Bell
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?
Answers
Answered by
Bell
help plz
Answered by
mathhelper
I recall oobleck answering this yesterday, but with the "search" feature of this webpage being useless I can't find it, I will do it
f(x) / (x^2 - 4x - 12) = Q(x) + (x+6)/(x^2 - 4x - 12)
did you notice x^2 - 4x - 12 = (x-6)(x+2) ??
multiply each term by that denominator
f(x) = Q(x) * ((x-6)(x+2)) + x+6
f(-2) = 0 + -2+6 = a,
so a = 4
f(6) - 0 + 6+6 = b,
so b = 12
then b/a = 12/4 = 3
f(x) / (x^2 - 4x - 12) = Q(x) + (x+6)/(x^2 - 4x - 12)
did you notice x^2 - 4x - 12 = (x-6)(x+2) ??
multiply each term by that denominator
f(x) = Q(x) * ((x-6)(x+2)) + x+6
f(-2) = 0 + -2+6 = a,
so a = 4
f(6) - 0 + 6+6 = b,
so b = 12
then b/a = 12/4 = 3
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.