Answer:
![-2,\ -1,\ -\dfrac{1}{2},\ 3.](https://tex.z-dn.net/?f=-2%2C%5C%20-1%2C%5C%20-%5Cdfrac%7B1%7D%7B2%7D%2C%5C%203.)
Step-by-step explanation:
Consider polynomial
If x=-2 is its zero, then you can divide the polynomial
by
and get
![2x^4+x^3-14x^2-19x-6=(x+2)(2x^3-3x^2-8x-3).](https://tex.z-dn.net/?f=2x%5E4%2Bx%5E3-14x%5E2-19x-6%3D%28x%2B2%29%282x%5E3-3x%5E2-8x-3%29.)
If x=-1, then the polynomial
can be rewritten as
![2x^4+x^3-14x^2-19x-6=(x+2)(x+1)(2x^2-5x-3).](https://tex.z-dn.net/?f=2x%5E4%2Bx%5E3-14x%5E2-19x-6%3D%28x%2B2%29%28x%2B1%29%282x%5E2-5x-3%29.)
The quadratic polynomial has roots
![x_{1,2}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4\cdot2\cdot(-3)}}{2\cdot 2}=\dfrac{5\pm \sqrt{25+24}}{4}=\dfrac{5\pm \sqrt{49}}{4}=3,-\dfrac{1}{2}.](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cdfrac%7B-%28-5%29%5Cpm%5Csqrt%7B%28-5%29%5E2-4%5Ccdot2%5Ccdot%28-3%29%7D%7D%7B2%5Ccdot%202%7D%3D%5Cdfrac%7B5%5Cpm%20%5Csqrt%7B25%2B24%7D%7D%7B4%7D%3D%5Cdfrac%7B5%5Cpm%20%5Csqrt%7B49%7D%7D%7B4%7D%3D3%2C-%5Cdfrac%7B1%7D%7B2%7D.)
Then the polynomial
has zeros ![-2,\ -1,\ -\dfrac{1}{2},\ 3.](https://tex.z-dn.net/?f=-2%2C%5C%20-1%2C%5C%20-%5Cdfrac%7B1%7D%7B2%7D%2C%5C%203.)
The maximum number of of bouquets the gardener could have made is 3
<h3>How to find unknown parameter</h3>
Total = 45
let
- number of daffodils = x
- number of tulips = y
Roses = 4x
Tulips = 4x + 15
Total = roses + daffodils + tulips
45 = 4x + x + (4x + 15)
45 = 5x + 4x + 15
45 = 9x + 15
45 - 15 = 9x
30 = 9x
x = 30/9
x = 3.33333333333333
Approximately,
x = 3
Let more about equation:
brainly.com/question/16863577
D
hope it helps/ not too late
-2x - y = 1 (1st)
-4x - 2y = -1 (2nd)
Multiply 1st equation by 2
-4x - 2y = 2
Now you have 2 new equations
-4x - 2y = 2
-4x - 2y = -1
----------------------Subtract
0 ≠ 3
Answer: No solutions