The first and the last are correct.
Given:
Perimeter of a rectangular paper = 22 inches.
Area of the rectangular paper = 28 square inches.
To find:
The dimensions of the rectangular paper.
Solution:
Let l be the length and w be the width of the rectangular paper.
Perimeter of a rectangle is:

Perimeter of a rectangular paper is 22 inches.


...(i)
Area of a rectangle is:

Area of the rectangular paper is 28 square inches.

Using (i), we get



Splitting the middle term, we get



Using zero product property, we get


If
, then by using (i)


If
, then by using (i)


Therefore, the dimensions of the paper are either
or
.
Answer:
Step-by-step explanation:
Answer:
The real root is -13
The value of A is 11 and B is -24
Step-by-step explanation:
The given equation is
.
If
is a root then then the complex conjugate
is also a root.
Let us now derive the quadratic equation that gave rise to this complex roots.
By the factor theorem, we get;

Now the
Now the fully factored cubic polynomial will be of the form:

By comparing constant terms; 2c=26. This means c=13
Hence the required polynomial is 
Therefore the real root is z=-13
We now expand fully to get:

By comparing coefficients; A=11, and B=-24