I would say "c".
Two solutions were found :
<span><span>x =(8-√116)/2=4-√<span> 29 </span>= -1.385</span><span>
x =(8+√116)/2=4+√<span> 29 </span>= 9.385</span></span>
Answer:
(x - 5)(x - 5)
Step-by-step explanation:
Given the expression
x^2 - 10x + 25
Look for the factors of x^2 and 25.
The factors are x and 5.
Therefore,
(x -5) (x-5)
When you distribute , you have
X x X - X x 5 - 5 x X - 5 x -5
x^2 -5x - 5x +25
x^2 - 10x + 25
Using the Factor Theorem, the polynomials are given as follows:
1. 
2. 
3. P(x) = -0.1(x³ - 4x² - 3x + 18)
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots
is given by:

In which a is the leading coefficient.
Item a:
The parameters are:

Hence the equation is:
P(x) = (x - 1)²x²(x + 4)
P(x) = (x² - 2x + 1)(x + 4)x²
P(x) = (x³ + 2x² - 7x + 1)x²

Item b:
The roots are:

Hence:
P(x) = a(x - 4)²x(x + 4)
P(x) = a(x² - 16)x(x - 4)
P(x) = a(x³ - 16x)(x - 4)

It passes through the point x = 5, P(x) = 36, hence:
45a = 36.
a = 4/5
a = 0.8
Hence:

Item 3:
The roots are:

Hence:
P(x) = a(x - 3)²(x + 2)
P(x) = a(x² - 6x + 9)(x + 2)
P(x) = a(x³ - 4x² - 3x + 18)
For the y-intercept, x = 0, y = -1.8, hence:
18a = -1.8 -> a = -0.1
Thus the function is:
P(x) = -0.1(x³ - 4x² - 3x + 18)
More can be learned about the Factor Theorem at brainly.com/question/24380382
#SPJ1
We are given

Firstly, we can find gradient
so, we will find partial derivatives





now, we can plug point (-5,5,2)



so, gradient will be

now, we are given that
it is in direction of v=⟨−3,2,−4⟩
so, we will find it's unit vector


now, we can find unit vector

now, we can find dot product to find direction of the vector

now, we can plug values


.............Answer
Answer:
Step-by-step explanation:
±3√2. Recall that 2 actually has two roots, one positive and the other negative.