For items 6 to 9, use illustration on long division that follows: 6. Which is the dividend?
8
A. 5x + 5
B. 5x -5
C. 25x2 - 50x +25
D. O
7. What is the remainder?
A. 5x + 5
B. X + 5
C. -5
D. O
lev
8. Which is the quotient?
A. 5x + 5
B. 5x -5
C. 5x² + 14x-24
D. O
9. What is the process used to obtain the 2nd line?
A. Multiplying 5x by (5x-5)
C. Dividing 5x by (5x -5)
B. Adding 5x by (5x-5)
D. Subtracting 5x by (5x -5)
10. If (7x⁴ – 5x⁵ -7x³ + 2x - 3) is divided by (x +3) using synthetic division the numbers in the first row would be
A. -5 7 -7 0 2 3
C. 1 7 -7 0 2 -3
B. -7 -7 -5 0 2 3
D. -3 7 -7 0 2 -5
11. What is the quotient when you divide (x3 4x2 + x + 6) by (x-3)
A. (x2+x-2)
B. (x2-x-2)
C. (x2+x+2)
D. (x2-x+2)
12. Which expression gives the remainder when P(x) = 4x2 + 2x-5 is divided by x-2?
A. P(-5)
B. P(-2)
C. P(2)
D. P(4)
13. What is the quotient when (2x⁴ + 4x³-5x² + 2x-3) is divided by (2x² + 1)?
A. x² + 2x-3
B. x² + 2x +3
C. x² - 2X-3
D. x² - 2x +3
14. Which polynomial gives a quotient of (3x² + 2x + 4) and a remainder of 19 when divided by (2x - 3)?
A. 6x³-5x² + 2x
B. 6x³ -5x² + 4x + 7
C. 6x³ -5x² + 2x + 7
D. 6x³ + 5x² + 2x + 7
15. What is the remainder when (x⁹ + 2x⁸ + 3x⁷ + ...+ 9x) is divided by (x - 1)?
A. 45
B. 90
C. 180
D. 360
16. The remainder after dividing (-10x³ + 5x2 + K) by (x + 1) is 4. Which of the following is the value of K?
A. 9
B. 19
C. -19
D.-11

the answer is 1/4

step-by-step explanation:

4.28095238095 that is the answer

here is me explaining it:

the pizza would be delivered around 5, give or take 15 minutes. this means it could be delivered anywhere from 4: 45 to 5: 15

let's say 5: 00 is equivalent to 0 on a number line and x represents time. 4: 45 would be equal to -15x because we are 15 minutes behind our starting point, 5: 00. 5: 15 would be equal to 15x because we are 15 minutes ahead of your starting point (which means you're late on the pizza delivery! )

absolute value is very confusing. the basic definition is how far you are from your starting point. if we deliver the pizza at 4: 45 (15 minutes before the starting point) we would be -15. this means we are 15 away from our starting point, 5: 00. that's the absolute value. |-15| (absolute value of negative fifteen) is equal to 15. if you did not understand this i suggest rereading this paragraph.

the normal way you would write this scenario would be 4.75 (4 and 3 quarters, or 4: 45. you can also write as a fraction.) is less than x and x is less than 5.25 (5 and 1 quarter or 5: 15). 4.75< x< 5.25 the reason why i am using numbers is because you cannot represent typical time as values on a graph, number line, or in an equation.

another way to write this scenario is with absolute value. we can write this as |x| being less than or equal to .25 (remember, this just means 15 minutes).           |x| ≤ .25.

sorry if the end was confusing. because we are talking about time this whole question is 10x harder. like i said earlier, you cannot represent time as, well, time, in a graph, equation, or number line. i set the values as follows: 1/4 or .25 for 15 minutes, and 1 for 1 hour. this is just a common way to set up graphs involving time.

|x| ≤ .25

i hope this ! : )

tell me if you need more assistance