<u>Given</u><u> info</u><u>:</u><u>-</u> Find the remainder when x^5 - 3x^3 + x - 5 is divided by x - 2
<u>Solution:</u><u>-</u>
Given,
p(x) = x^5 - 3x^3 + x - 5 , g(x) = x - 2
Let g(x) = x-2 will be the factor of p(x) if p(2) = 0.
Now, p(x) = x^5 - 3x^3 + x - 5
p(2) = (2)^5 - 3(2)^3 + 2 - 5
= (2*2*2*2*2) - 3(2*2*2) + 3 - 5
= 32 - 3(8) + 3 - 5
= 32 - 24 + 3 - 5
= 31 - 24 - 2
= 31 - 26
= 5 Remainder.
Hence, when x^5 - 3x^3 + x - 5 is divided by x - 2 , we get the remainder as 5.
If you're asking if 3/4 is less than 1/2, then it's a true statement.
Using the graph and the mode concept, it is found that the mode for the number of books the boys read is given by:
<h3>What is the mode?</h3>
- The <em>mode </em>of a data-set is the <u>number that appears the most times</u> in it.
In this problem, the data-set is composed by the number of books read by boys each day, and is {7, 2, 3, 5, 3}.
- The number 3 appears twice on the data-set, which is more times than the other numbers, hence, it is the mode of the data-set, and option A is correct.
You can learn more about the mode concept at brainly.com/question/24732674
Hi there!
To solve this problem, we need to divide the total amount of tables by the amount of students:
40 / 10 = 4
So, we need 4 tables to seat 40 students.
Hope this helps!
