A line segment can be divided into ratios.
<em>The coordinate of P on line segment AB is (5,1)</em>
Given
The position of P from A to B is:
So, from P to B would be:
So, the ratio is:
Simplify
<u>The coordinate of point P is:</u>
So, we have:
<em>Hence, the coordinate of P is (5,1)</em>
Read more about line ratios at:
Answer:
Step-by-step explanation:
1. Descarte's rule of signs tells you there are 0 positive real roots and 0 or 2 negative real roots. (for positive x, signs are ++++ so have no changes; for negative x, signs are ++-+, so have 2 changes.) A graph shows no real roots.
2. There are 3 sign changes in the given polynomial, so 3 or 1 positive real roots. When the sign of x is changed, there are 2 sign changes, so 0 or 2 negative real roots. A graph shows 2 negative and one positive real root (for a total of 3), so the remaining 2 roots are complex.
