Answer:
Step-by-step explanation:
We are given the polynomial:
And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.
Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.
Hence, by the Factor Theorem, P(2) must equal zero.
Find P(2):
This must equal zero. Hence:
In conclusion, <em>k</em> = 34/3.
Answer:
X= 8
Y= 130
(8, 130)
Step-by-step explanation:
I used a graphing calculator to see where the two equations intersected.
Hope this helped :)
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−
<em><u>Answer:</u></em>
vertex = (-4, -5)
Axis of symmetry = -4
use the (-4, -5) to find the minimum value
<em><u>Solution:</u></em>
Given function is:
The equation in vertex form is given as:
Where, (h, k) is constant
On comparing give function with vertex form,
h = -4
k = -5
Vertex is (-4 , -5)
Axis of symmetry : x co-ordinate of vertex
Thus, axis of symmetry = -4
The coefficient of x^2 is positive in given function.
Thus the vertex point will be a minimum
On comparing,
a = 1
b = 8
Thus, use the (-4, -5) to find the minimum value
Domain and range
The domain is the input values shown on the x-axis
The range is the set of possible output values f(x)
Therefore,
