Answer:
Step-by-step explanation:
<u>Equation of a Polynomial</u>
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:
Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
We must write it in standard form, so we have to multiply all of the factors as follows:
Answer:
An equation in slope-intercept form of the line will be
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept
Given the points
Finding the slope between (-1,-1) and (1,0)
substituting m = 1/2 and (-1, -1) in the slope-intercept form of the line equation to determine the y-intercept
Add 1/2 to both sides
substituting m = 1/2 and b = -1/2 in the slope-intercept form of the line equation
Therefore, an equation in slope-intercept form of the line will be
