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:

Step-by-step explanation:
Given the equation

Note that

and

Combined, 
Solve the equation:

Since
this is the solution to the equation.
Answer:
33250
Step-by-step explanation:
Pedro had earned a gross income of 35200 last year.
So, the gross income of Pedro for the current year will also be 35200.
But, this year he has taken the standard deduction of 5450.
Hence, his current year's income will be reduced to (35200-5450)= 29750.
Again, in the current year, he got an exemption of 3500.
Therefore, the net taxable income of Pedro for the current year will become (29750+3500) =33250. (Answer)
Answer:
x > 10
Step-by-step explanation:
Given
x - 3 > 7 ( add 3 to both sides )
x > 10