The quotient is x^3 + 4x^2 -x + 1.
Solution:
By polynomial grid division, we start by the divisor 3x + 10 placed on the column headings.
3x 10
x^3 3x^4
We know that 3x^4 must be in the top left which means that the first row entry must be x^3. So the row and column multiply to 3x^4. We use this to fill in all of the first row, multiplying x^3 by the terms of the column entries.
3x 10
x^3 3x^4 10x^3
4x^2
We now got 10x^3 though we want 22x^3. The next cubic entry must then be 12x^3 so that the overall sum is 22x^3.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3
Now we have 40x^2, so the next quadratic entry must be -3x^2 so that the overall sum is 37x^2.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
This time we have -10x, so the next linear entry must be 3x so that the overall sum is 7x.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
1 3x 10
The bottom and final term is 10, which is our desired answer. Therefore, we can now read the quotient off the first column:
3x^4+22x^3+37x^2-7x+10 / 3x + 10 = x^3 + 4x^2 -x + 1
5% = 1/20
so if 35 pages are 1/20th of the book, the book would be 20 x 35 pages long.
20 x 35 = 700 Pages
The number of arrangements is an illustration of permutations.
The number of arrangement is 5040
The given parameter is:
<em />
<em> --- number of days</em>
<em />
<em> --dinners for 7 days</em>
<em />
So, the number of different arrangement is
Substitute known values
Hence, the number of arrangement is 5040
Read more about arrangements at:
brainly.com/question/15301090
Answer:
Its B.
Step-by-step explanation:
Answer:
20 girls
Step-by-step explanation:
3:5; this means that if there were 8 students, 3 would be girls and 5would be girls. Using this info we can multiply the ratio by a umber that will turn the total amount of students to 32.
4(3:5)=12:20
12+20=32
12 boys and 20 girls in a class of 32 students.
