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Given that a<span>s
Marta built a square fence around her garden, she wondered how much she
would have to pay if she increased the length of each side of the fence
by the same number of meters.
</span><span>
Suppose the she </span><span>increases each side of the fence by m meters, then the total increase to the four sides of the square is given by 4m.
</span><span>Given that each meter of fence costs 3 dollars, therefore, </span>the <span>function that
best describes the additional amount of money Marta will have to spend,
in dollars, if she increases each side of the fence by m meters is given by C = 12m.</span>
Answer:
The pattern is of +5,+10,+20,+40
As 7+5=12
12+10=22
22+20=42
So the next three numbers are
42+40=82
82+80=162
163+160=323
The factor is the solution of zeros of the equation and x + 2 making it zero therefore x + 2 will be the solution of the given polynomial so option (B) will be correct.
<h3>What are the roots of an equation?</h3>
Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.
Given the polynomial,
x³ + 2x² - 9x - 18
A factor is consist of a solution of zeros of any polynomial.
For example;
x² + 5x + 6 = 0
x(x + 2) + 3(x + 2) = 0
(x + 3)(x + 2) = 0
Here x + 3 and x + 2 are factor and solution is x = -3 and -2
Similarly,
x³ + 2x² - 9x - 18 = 0
The factor must be the solution to this.
By cross-checking option
Option (A) x + 1 = 0 → x = -1
Keeping x = -1
(-1)³ + 2(-1)² - 9(-1) - 18 = -8 ≠ 0 so it is not the factor.
Option (B) (x + 2) = 0 → x = -2
(-2)³ + 2(-2)² - 9(-2) - 18
-8 + 8 + 18 - 18 = 0 = 0 so it will be factor of the polynomial.
Hence " x + 2 will be the solution of the given polynomial".
To learn more about the roots of an equation,
brainly.com/question/12029673
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Answer:
it is false
Step-by-step explanation:
