78, because you have to do the inverse operation so 80/2= 40 then 40-1= 39 and 39*3 = 78
Given:
The leading coefficient of a polynomial is 8.
Polynomial roots are 1 and 2.
The graph passes through the point (4,5).
To find:
The 3rd root and the equation of the polynomial.
Solution:
The factor form of a polynomial is:

Where, a is a constant and
are the roots of the polynomial.
Polynomial roots are 1 and 2. So,
and
are the factors of the polynomial.
Let the third root of the polynomial by c, then
is a factor of the polynomial.
The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

The graph passes through the point (4,5). Putting
, we get



Divide both sides by 48.




Therefore, the 3rd root on the polynomial is
.
Answer:anwser would be c
Step-by-step explanation:
Answer:The given function is .Minimum or maximum value:At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.dy/dx=0Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,As for all value of x, so x=0 is the point corresponding to minima.Put x=0 in the given function to get the minimum value.Domain and range:The function defined for all the values of the independent variable, x.So, the domain is .The range of the function is the possible value of y.The minimum value, for x=0, is y=7.The maximum value, as .Hence the range of the function is .The value of x for which the function is increasing and decreasing:If the slope of the function is negative than the function is decreasing, soThen, from equation (i), the value of x for which dy/dx<0,18x<0Hence, the function is decreasing for .While if the slope of the function is positive than the function is increasing, soThen, from equation (i), the value of x for which dy/dx<0,18x>0Hence, the function is increasing for
Step-by-step explanation:hope this helps
No, to be a square each side has to be equal. but all squares are rectangles.