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3 years ago

Given a polynomial f(x), if (x + 5) is a factor, what else must be true?

1 answer:

4 0

Rule: If x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

Using that rule, we can see that x+5 is really x-(-5) so k = -5.

Therefore,

p(k) = 0
p(-5) = 0

so the answer is choice D.

You might be interested in

a shopkeepee bought 7 books for rs.525 and sold 4 books for rs 360 .if he/she sold the remaining books at the same rate of cost

AnnyKZ [126]

Answer:

His profit is 105 rs

Step-by-step explanation:

if he bought 7 books for 525 RS,that means 1 book costs 75 rs

if he sold 4 books for 360 RS,that means 1 boo costs 90 RS

90×7=630.

630-525=105

8 0

2 years ago

Can some one run the answer

kifflom [539]

For #1-6, I'll write down the spelling errors first, and the correct spelling in bold. #7 will have the incorrect sentence first, and the sentence with correct punctuation in italics, with the punctuation bold.

1. super sonic supersonic
2. sub marine submarine
3. sub way subway
4. super natural supernatural
5. out field outfield
6. super star superstar
7. Do you like sports. Do you like sports?

For #8-16, the word in bold is the correct spelling.

8. submarine submareen submarein
9. subdivsion subdivison subdivision
10. subersonic supersonic supresonic
11. underline undeline undrline
12. outfeild outfeeld outfield
13. overcast overcas ovrcast
14. overlok overlook overlock
15. suparmarkit suprmarkat supermarket
16. overboard overbored ovarboard

3 0

3 years ago

Select the word to make the statement true.

LekaFEV [45]

Answer:

always

Step-by-step explanation:

3 0

2 years ago

I’ll give brianliest

avanturin [10]

Answer:

if its area its 21,504 but if its perimiter its 33

Step-by-step explanation:

6 0

2 years ago

How many integers between 100 and 999 (inclusive) have distinct digits

daser333 [38]

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

cur_numbers[2] = i % 10

i = math.floor(i/10)

cur_numbers[1] = i % 10

i = math.floor(i/10)

cur_numbers[0] = i % 10

if(len(set(cur_numbers)) == 3):

num += 1

print(cur_numbers)

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648

5 0

2 years ago