Answer:
0
Step-by-step explanation:
Its Nor positive nor negative
Answer:
Error of Andrew: Made incorrect factors from the roots
Step-by-step explanation:
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x). According to this definition:
(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.
Simplifying the brackets, we get:
(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.
This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
![(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0](https://tex.z-dn.net/?f=%28x%20-%203%29%28x%20-%202%20-%202i%29%28x%20-%202%2B2i%29%3D0%5C%5C%5C%5C%20%28x-3%29%28x%5E%7B2%7D-2x%2B2xi-2x%2B4-4i-2xi%2B4i-4i%5E%7B2%7D%29%3D0%5C%5C%5C%5C%20%28x-3%29%28x%5E%7B2%7D-4x%2B4%2B4%29%3D0%5C%5C%5C%5C%20%28x-3%29%28x%5E%7B2%7D-4x%2B8%29%3D0%5C%5C%5C%5C%20x%5E%7B3%7D-4x%5E%7B2%7D%2B8x-3x%5E%7B2%7D%2B12x-24%3D0%5C%5C%5C%5C%20x%5E%7B3%7D-7x%5E%7B2%7D%2B20x-24%3D0)
Answer:
25 ft
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + 20 ^2 = x^2
225+400= x^2
625 = x^2
Take the square root of each side
sqrt(625) = sqrt(x^2)
25 = x
5.25
- 1.75
--------
=3.50
the k bakery used 3.50 more cups of flour than the local bakery.
There is a 1/3 chance. Because there are 3 coins