<u>Answer: </u>
Sum of the roots of the polynomial
<u>Solution:</u>
The general form of cubic polynomial is ---- (1)
If we have any cubic polynomial having roots
Sum of roots =
---(2)
From question given that,
--- (3)
On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12
Hence the sum of roots using eqn 2 is given as,
=
= -2
Hence the sum of the roots of the polynomial
Answer:
No, it isn't.
Step-by-step explanation:
We have and let
be the subset of
of all points on the line
We need to find if is a subspace of the vector space
.
In all the possibilities for own subspace of the vector space
are :
We know that is the subset of
of all points on the line
If we look at the equation, the point doesn't verify it because :
Which is an absurd. Therefore, doesn't contain the origin (and
is a line in
). Finally, it can't be a vector space of