Asked by kayla
Devon wanted to know if x−3 is a factor of f(x)=x^3+x^2−10x+8. She applied the Factor Theorem and concluded that x−3 is not a factor of f(x), as shown in the following work.
f(−3)=(−3)^3+(−3)^2−10(−3)+8=20
f(−3)=20, so the remainder is 20.
The remainder is 20, so x−3 is not a factor of f(x).
Did Devon make a mistake? If so, what was her mistake?
A.Yes, x−3 is a factor of f(x).
B.Yes, Devon evaluated f(−3) incorrectly.
C.No, Devon did not may any mistakes.
D.Yes, Devon should have evaluated f(3).
E,Yes, f(−3)=20 does not mean the remainder is 20.
I pretty confused on this I thought it was no at first but I dont know anymore can someboyd help
f(−3)=(−3)^3+(−3)^2−10(−3)+8=20
f(−3)=20, so the remainder is 20.
The remainder is 20, so x−3 is not a factor of f(x).
Did Devon make a mistake? If so, what was her mistake?
A.Yes, x−3 is a factor of f(x).
B.Yes, Devon evaluated f(−3) incorrectly.
C.No, Devon did not may any mistakes.
D.Yes, Devon should have evaluated f(3).
E,Yes, f(−3)=20 does not mean the remainder is 20.
I pretty confused on this I thought it was no at first but I dont know anymore can someboyd help
Answers
Answered by
Reiny
If for some function f(a) = 0 , then x-a is a factor
so you were testing if x - 3 is a factor, then f(3) = 0
so you were testing if x - 3 is a factor, then f(3) = 0
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.