GIVEN:
We are given the following polynomial;

Required;
We are required to factorize this polynomial completely.
Step-by-step explanation;
To factorize this polynomial, we start by grouping;

We now take the common factor in each group;

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

Therefore, the factors of the other parenthesis are;

Therefore, the complete factorization of the polynomial is;
ANSWER:

Option C is the correct answer.
x^3-6x^2+18x-2 is right snswer
Answer:
Step-by-step explanation:
<u>Given the scale factor:</u>
Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.
<u>The volumes are:</u>
<u>Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:</u>
- v/x = k³
- 67/x = (1/3)³
- x = 67*27
- x = 1809 cm³
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
A:40%
If you put 60 over 150 and x(percent of students) over 100 and cross multiply 100 and 60, you will get 6000. You then divide that by 150 which leaves you with 40 as x and 40 over 100 is 40%.