Answer:

Step-by-step explanation:
We want to write an equation for the polynomial function with roots;

and

Note that complex roots come in pairs and in conjugates.
Therefore

is also a root.
By the factor theorem:
(x-2), (x+3+5i), and (x+3-5i) are factors of the polynomial.
Let p(x) be the polynomial, then in factored form.

We expand now to get:

Simplify now

We expand further;



1/2 (2) + 3 + 5.3 (3)
1 + 3 + 15.9
19.9
Answer:
The length of the rectangle is 15 cm.
Step-by-step explanation:
breadth(b)=?
length(l)= 3+2b
perimeter(P)= 42 cm
Now,
P = 2 ( l+b )
or, 42= 2 ( 3+2b+b)
or, 42 = 2 ( 3+3b)
or,
= 3+3b
or, 21 = 3+3b
or, 21-3 =3b
or, 18 = 3b
or,
= b
or, 6 = b
Here, Breadth(b)= 6 cm
Length (l) = 3 + 2*6
= 3 + 12
=15 cm