Answer:
There are 15 partitions of 7.
Step-by-step explanation:
We are given that a partition of a positive integer $n$ is any way of writing $n$ as a sum of one or more positive integers, in which we don't care about the numbers in the sum .
We have to find the partition of 7
We are given an example
Partition of 4
4=4
4=3+1
4=2+2
4=1+2+1
4=1+1+1+1
There are five partition of 4
In similar way we are finding partition of 7
7=7
7=6+1
7=5+2
7=5+1+1
7=3+3+1
7=3+4
7=4+2+1
7=3+2+2
7=4+1+1+1
7=3+1+1+1+1
7=2+2+2+1
7=3+2+1+1
7=2+2+1+1+1
7=2+1+1+1+1+1
7=1+1+1+1+1+1+1
Hence, there are 15 partitions of 7.
Answer: Q(x) = x² - 4x + 2
<u>Step-by-step explanation:</u>
P(x) · Q(x) = R(x) ⇒ Q(x) = R(x)/P(x)
R(x) = x³ - 2x² - 6x + 4 ÷ P(x) = x + 2
I will use synthetic division (but you can also use long division).
-2 | 1 -2 -6 4
<u>| ↓ -2 8 -4 </u>
1 -4 2 0 ← remainder
The reduced polynomial is: x² - 4x + 2
Answer:
The value of x = 12, makes the statement
true
Option D is correct option.
Step-by-step explanation:
What value of x makes this statement true?

We need to solve the equation to find value of x

Subtract 2x on both sides

So, the value of x is: x=12
So, The value of x = 12, makes the statement
true
Option D is correct option.
Answer:
-3g-4
Step-by-step explanation:
(-2g+7)-(g+11)= -2g+7-g-11= -3g-4