1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andru [333]
3 years ago
14

Is (x + 7) a factor of f(x) = x^3 − 3x^2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reason

ing.

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0

Answer:

Step-by-step explanation:

I don't think so. 7 is not a factor of 8, but let's try it and see.

x = - 7

f(-7) = (-7)^3 - 3(-7)^2 + 2(-7) + 8

f(-7) = -343 - 3(49)  + 14 + 8

f(-7) = -484

The graph shows that the x intercept (the one you are interested in) takes place at a little over 3. The calculation shows that when x = -7, the y value is -484 which is nowhere's near 0.

Ipatiy [6.2K]3 years ago
7 0

Answer:

No there is a remainder of -512

Step-by-step explanation:

Divide (x+7) into (x^3 - 3x^2 + 2x - 8)

x^2-10x+72 R -512/(x+7)

You might be interested in
What is the iqr of 23,27,42,45,49,53,62,71,76,80<br>A. 28<br>B. 29<br>C. 57<br>D. 80
OlgaM077 [116]
The answer is none of those because you find the median of 51 which is Q2 then the lower median is 34.5 and the upper median is 73.4 then you subtract 73.5-34.5=39
8 0
3 years ago
Read 2 more answers
Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (ne
JulijaS [17]

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

we have

A(4,3) and B(-2,1)

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the given values

AB=\sqrt{(1-3)^{2}+(-2-4)^{2}}

AB=\sqrt{(-2)^{2}+(-6)^{2}}

AB=\sqrt{40}\ units

therefore

StartRoot 2 squared + 6 squared EndRoot

7 0
3 years ago
Read 2 more answers
What is the factored form of the expression over the complex numbers?<br><br><br><br> 16x^2+9y^2
sertanlavr [38]
I hope this helps you

8 0
3 years ago
Read 2 more answers
Someone help mewith this please! I'm not sure how to do it? and i will give brainly thx
pav-90 [236]

Answer:

C. option is right

Step-by-step explanation:

I hope it's your helpful

4 0
3 years ago
Read 2 more answers
Need an answer as soon as possible.
Elza [17]
Part A

Answer: The common ratio is -2

-----------------------------------

Explanation: 

To get the common ratio r, we divide any term by the previous one

One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2

Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time

Side Note: each term is multiplied by -2 to get the next term

============================================================
Part B

Answer:
The rule for the sequence is 
a(n) = (-2)^(n-1)
where n starts at n = 1

-----------------------------------

Explanation:

Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio

The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)

============================================================
Part C

Answer: The next three terms are 16, -32, 64

-----------------------------------

Explanation:

We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms

-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64

showing that the next three terms are 16, -32, and 64

An alternative is to use the formula found in part B

Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier

Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier

Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier

while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
6 0
4 years ago
Other questions:
  • Hundreds, tens, and ones<br>hat number represents the same amount as 3 hundreds + 4 tens +16 ones?​
    8·2 answers
  • marsha waide borrows $9,000 and agrees to pay it back in 2 years. if the simple interest rate is 10% find the total amount she p
    6·1 answer
  • 500.06 in word form (brainly for the correct answer)
    14·2 answers
  • Hugo wanted to reorganize his superhero figure collection. He split his collection evenly
    12·1 answer
  • A plumber has been working at 4 customer sites. He has completed 1/4, 50%, 12.5%, 3/4 and of his work at the sites. Which list s
    7·1 answer
  • 11<br> Solve for A, B, and C:<br> 3<br> a<br> &lt;<br> 26°<br> b<br> C
    9·1 answer
  • Find the surface area. Use 3.14 for pi
    11·2 answers
  • 1) f(x) = 3*<br> f(x)<br> x<br> -1<br> 0<br> 1<br> 2 3
    13·1 answer
  • Write the product using exponents.<br><br> 6.4.6.4.6.4.6.4.b.b.b
    15·1 answer
  • Question 4 <br> Please help me thank you
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!