Answer:
Step by step explanation:
![\text{Given that, two roots are}~ -4~ \text{and}~ 4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64](https://tex.z-dn.net/?f=%5Ctext%7BGiven%20that%2C%20%20two%20roots%20are%7D~%20-4~%20%5Ctext%7Band%7D~%20%204i.%5C%5C%5C%5C%5Ctext%7BLet%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%204i%5C%5C%5C%5C%5Cimplies%20%20x%5E2%20%3D%2016i%5E2~~~~~~~%3B%5B%5Ctext%7BSquare%20on%20both%20sides%7D%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%3D%20-16~~~~~~~~%3B%5Bi%5E2%20%3D%20-1%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%2B16%20%3D%200%5C%5C%5C%5C%5Ctext%7BSo%2C%7D~%20x%5E2%20%2B16~%20%5Ctext%7B%20is%20a%20factor%20of%20the%203%20degree%20polynomial%7D.%5C%5C%20%5C%5C%20%5Ctext%7BThe%20polynomial%20is%20%2C%7D%5C%5C%5C%5C%20f%28x%29%20%3D%20%28x%2B4%29%28x%5E2%20%2B16%29%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B16x%20%2B4x%5E2%20%2B64%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B4x%5E2%20%2B16x%20%2B64)
Answer:
z= 37/23
Step-by-step explanation:
Answer:
2(x+16)
Step-by-step explanation:
it says product of 2 means 2 times
then it says sum of x and 16 so thy are asking for the sum of x and 16 then multiplied by 2
so the ans is 2(x+16)
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the element
Leto [7]
Answer:
Step-by-step explanation:
Required
Determine
Solving
implies that elements in U but not in C
Since
<em>Because there's no intersection between both</em>
Solving
First, we need to determine A n C
Solving
First, we need to determine B n C
So:
Answer:
Change the fractions to equivalent fractions with a common denominator and then compare the numerators
Step-by-step explanation:
