Answer:
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots 
such that it can be written as: 
, in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
Output of 40 when x=1
This means that when 
. We use this to find the leading coefficient a. So
The polynomial is:
Answer:
First blanks: 36 and 36
Second blanks: -7 or 7
Step-by-step explanation:
Simplify (x+6)^2 and you get x^2+12x+36. 36 is what’s missing in that blank, and it needs to be added to both sides. Next, the second set of blanks is what you get when you take the square root of both sides of the equation. Sqrt((x+6)^2)=x+6. Sqrt(49)= -7 or 7. So you have to put 7 and -7 in the second set of blanks.
The answer is (x-3)(x-3).
Answer:
60 square feet
Step-by-step explanation:
Area of figure = area of rectangle + area of triangle
Rectangle:
Length = 10 ft
Width = 4 ft
Area = length * width
= 10 * 4
= 40 ft²
Triangle:
Base b = 12 - 4 = 8 ft
Height h = 10 - 5 = 5 ft
= 20 ft²
Area of the figure = 40 + 20 = 60 square feet
