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,
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If 30% were perfect, 70% were not perfect. So we know that 70% of the total number of photographs is 210.
p(70/100)=210 multiply both sides by 100
70p=21000 divide both sides by 70
p=300
So there are 300 photographs in all.
10³ = 1 000
17.55 x 1 000 = 17550
Answer:
The total area:
12 units²
Step-by-step explanation:
There are three parts on this shape:
1 big right triangle
1 rectangle
1 small right triangle
area = (4*4)/2 = 16/2 = 8units²
area = 2*1 = 2units²
area = (2*2)/2 = 2units²
8+2+2 = 12 units²
Number of possible combinations = (4x3) ÷ 2 = 6
Answer: There are 6 possible combinations.
