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Answer:
Step-by-step explanation:
Recall, if we have a polynomial of the form , then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form
-5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).
In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form
.
In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that
.
Which implies that . Since the square of any number is a positive number, it must happen that a>0. So, we have that
.
We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be
which we can easily check that f(0)=-1.
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
We have the equations in the standard form. Convert to the slope-intercept form:
<em>subtract 3x from both sides</em>
<em>add x to both sides</em>
<em>divide both sides by 3</em>
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We need only two points to plot a graph of each function.
for x = 0 and for x = -3:
for x = 0 and for x = -3:
Look at the picture.
