The last one I believe because adjacent means beside eachother
Answer:
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Answer:
the highest common factor of the polynomial is (x + 2) (x - 3)
Step-by-step explanation:
The computation of the highest common factor of the polynomial is as follows:
According to the question, the following equation is given
'
Now do the factorization

x(x - 3) +2 (x - 3)
(x + 2) (x - 3)
hence, the highest common factor of the polynomial is (x + 2) (x - 3)
The same is to be considered
Given:
The equation of a circle is

A tangent line l to the circle touches the circle at point P(1,3).
To find:
The equation of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is

Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is



We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.



The slope of line l is
and it passs through the point P(1,3). So, the equation of line l is



Adding 3 on both sides, we get



Therefore, the equation of line l is
.