The equation that represents the function of the polynomial is ![y = (x -2)^3(x +3)^2](https://tex.z-dn.net/?f=y%20%3D%20%28x%20-2%29%5E3%28x%20%2B3%29%5E2)
<h3>What are the roots?</h3>
The roots of an equation are the zeros of the equations i.e. the x values, when the equation equals 0
From the question, we have:
- Root: x = 2; Multiplicity: 3
- Root: x = -3: Multiplicity: 2
Equate the roots to 0
and ![(x + 3) = 0](https://tex.z-dn.net/?f=%28x%20%2B%203%29%20%3D%200)
Introduce the multiplicities, as an exponent of each zero
and ![(x + 3)^2 = 0](https://tex.z-dn.net/?f=%28x%20%2B%203%29%5E2%20%3D%200)
Multiply both zeros
![(x - 2)^3 \times (x + 3)^2 = 0 \times 0](https://tex.z-dn.net/?f=%28x%20-%202%29%5E3%20%5Ctimes%20%28x%20%2B%203%29%5E2%20%3D%200%20%5Ctimes%200)
![(x - 2)^3 \times (x + 3)^2 = 0](https://tex.z-dn.net/?f=%28x%20-%202%29%5E3%20%5Ctimes%20%28x%20%2B%203%29%5E2%20%3D%200%20)
![(x - 2)^3 (x + 3)^2 = 0](https://tex.z-dn.net/?f=%28x%20-%202%29%5E3%20%20%28x%20%2B%203%29%5E2%20%3D%200%20)
Express 0 as y
![(x - 2)^3 (x + 3)^2 = y](https://tex.z-dn.net/?f=%28x%20-%202%29%5E3%20%20%28x%20%2B%203%29%5E2%20%3D%20y)
Hence, the equation that represents the function of the polynomial is ![y = (x -2)^3(x +3)^2](https://tex.z-dn.net/?f=y%20%3D%20%28x%20-2%29%5E3%28x%20%2B3%29%5E2)
Read more about polynomials at:
brainly.com/question/5366408
Answer:
Area of Trapezoid is 88 Units^2
Step-by-step explanation:
Area of trapezoid = (a+b)/2 * h
where a and b are lengths of each base and h is the height of trapezoid.
In the question given:
a= 17 (because a is the upper base and value will be 17)
b= 27 (because b is the lower base and value will be 17+5+5 = 27)
h= 4
Area of trapezoid = (a+b)/2 * h
= (17 +27)/ 2 * 4
= 22 * 4
= 88 Units^2
Area of Trapezoid is 88 Units^2
Answer:
60.5
Step-by-step explanation:
becuase you justa add them and their is no need to round
Fraction : 1/3 Decimal: 0.33333... and Percent is 33%