Asked by mark
If (x + 2) is a factor of m^2x^4 + 5mx^3 + x^2 – 7x – 2, find m. (4 marks)
Answers
Answered by
Reiny
There is no reason to keep changing names.
You have several questions all of the same nature.
The only way to learn how to do these is by doing lots yourself.
They are a simple application of the Factor Theorem.
If x+2 is a factor, then f(-2) = 0
m^2(16) + 5m(-8) + 4 - 7(-2) - 2 = 0
16m^2 - 40m + 16 = 0
2m^2 - 5m + 2 = 0
(2m - 1)(m - 2) = 0
m = 1/2 or m = 2
You have several questions all of the same nature.
The only way to learn how to do these is by doing lots yourself.
They are a simple application of the Factor Theorem.
If x+2 is a factor, then f(-2) = 0
m^2(16) + 5m(-8) + 4 - 7(-2) - 2 = 0
16m^2 - 40m + 16 = 0
2m^2 - 5m + 2 = 0
(2m - 1)(m - 2) = 0
m = 1/2 or m = 2
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.