Asked by sami
Find the HCF of f(x) = 6x^3 + 24x^2 + 18x, g(x) = 4x^4 + 4x^3 - 24x^2
Answers
Answered by
drwls
I will assume that HCF means highest common factor. First factor them both and see what you get.
f(x) = 6x^3 + 24x^2 + 18x
= 6x(x^2 +4x +3)
= 6x(x+3)(x+1)
g(x) = 4x^4 + 4x^3 - 24x^2
= 4x^2(x^2 +x -6)
= 4x^2(x+3)(x-2)
2x(x+3) is the largest factor of both functions.
It goes into f(x) 3(x+1) times and
it goes into g(x) 2x(x-2) times
f(x) = 6x^3 + 24x^2 + 18x
= 6x(x^2 +4x +3)
= 6x(x+3)(x+1)
g(x) = 4x^4 + 4x^3 - 24x^2
= 4x^2(x^2 +x -6)
= 4x^2(x+3)(x-2)
2x(x+3) is the largest factor of both functions.
It goes into f(x) 3(x+1) times and
it goes into g(x) 2x(x-2) times
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.