Given the following roots x = 2, -3, 4. Write a polynomial function p(x)
1 answer:
Answer:
Step-by-step explanation:
The first thing that you have to do is take the roots that you're given and write binomial products.
Remember that a root is the value of "x" in a binomial expression, so the binomial expression itself will have the opposite sign of the root.
The next thing you have to do is multiply the roots together. A good way to do this is the "box method."
(See attachment below for the multiplication of and
. )
Next, multiply your new trinomial by your remaining binomial. (See additional attachment below for the multiplication of and
)
The resulting polynomial is .
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is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).
General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
<em>y-intercept is the point which line crosses at y-axis.</em>
In the given line, y-intercept is 4.
c = 4
Slope of the line:
Equation of the line:
y = mx + c
Hence is the equation best represents the line.