Given:
A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .
To find:
The fourth-degree polynomial function in factored form.
Solution:
The factor for of nth degree polynomial is:

Where,
are n zeros of the polynomial.
It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:


![[\because a^2-b^2=(a-b)(a+b)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D)
On further simplification, we get

![[\because i^2=-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20i%5E2%3D-1%5D)
Therefore, the required fourth degree polynomial is
.
Answer:
72.1110255093 cm
Step-by-step explanation:
round it if you have to
Answer:
Vertex: (1,-1)
Symmetry: x = 1
Step-by-step explanation:
y = 4x² - 8x + 3
y = 4(x² - 2x) + 3
y = 4[x² - 2(x)(1) + 1² - 1²] + 3
y = 4(x - 1)² - 1
In y = a(x - h)² + k,
(h,k) is the vertex
And a vertical line passing through the vertex is the line of symmetry, i.e x = h.
Vertex: (1,-1)
Symmetry: x = 1
Answer:
11 books
b=(58+8)/6
Step-by-step explanation:
58+8=66
66/6=11
11