Answer:
The length of the rectangle is of 9 units.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



Area of a rectangle:
A rectangle has width
and length
. The area is the multiplication of these measures, that is:

The length of a rectangle is the sum of the width and one.
This means that
, or 
The area direct angle 72 units. What’s the length, in units, of the rectangle
We want to find the length. So



Quadratic equation with
. So



Since the length is a positive measure, the length of the rectangle is of 9 units.
Answer: second Congress
Step-by-step explanation:
Short and sweet
Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14