3^(x+2) + 27 = 3^2(3^x + 3) = 9(3^x + 3)
5(3^x) + 15 = 5(3^x + 3)
Help?
I was wondering If i would be able to get help with these last questions:
a) Prove by showing all steps of working that 3^(x+2)+27 / 5 x 3^x + 15 can be simplified to 9 / 5
a) p ( x) = ax^3 + bx^2 - 5x + c is a polynomial exactly divisible by (x+2).
Also p(0) = p (1) = -6, find a, b and c and completely factorize p (x).
Any Contribution will be appreciated!
Hello, Pandp77!
is a polynomial exactly divisible by
Also: .
Find , and completely factorize
Since is divisible by , then: .
. .
Since
Since
Substitute [2] into [1]: .
Substitute [2] into [3]: . .
Add [4] and [5]: .
Substitute into [5]: .
Hence: .
We know that is divisible by
Therefore: .