(x-6)² + (x + 5)² = 16
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
A polynomial written in decreasing order of the degree of its monomials ( or single term ) is called its standard form,
In polynomial,
,
Degrees are written in increasing order,
⇒ It is not written in standard form,
In polynomial,
,
Degrees are written in decreasing order,
⇒ It is written in standard form,
In polynomial,
,
There is no order of degrees,
⇒ It is not written in standard form,
In polynomial,
,
There is no order of degrees,
⇒ It is not written in standard form,
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume and prove
.
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required