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
ankoles [38]
3 years ago
11

The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
3 0
<h3>Answer: n = -11</h3>

=========================================================

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

You might be interested in
What can you tell about the mean of eachdistribution
erik [133]

Answer:

In a discrete probability distribution of a random variable X, the mean is equal to the sum over every possible value weighted by the probability of that value; that is, it is computed by taking the product of each possible value x of X and its probability p(x), and then adding all these products together, giving. .

Step-by-step explanation:

I really hope this helps have a wonderful day

7 0
3 years ago
F(x) = 3x-7 and g(x) = -2x-6. Find (f o g)(4)
USPshnik [31]
<span>(f o g)(4) = f(g(4))
so
g(4) = </span><span>-2(4) -6 = -14
</span>f(g(4)) = <span>3(-14) -7 = -49

answer
</span><span> (f o g)(4) = -49</span>
4 0
3 years ago
1) 3x – 2y=-16<br> Write the slope-intercept form of the equation of each line
raketka [301]

Answer:

y = \frac{3}{2} x + 8

Step-by-step explanation:

The equation of a line in slope- intercept gorm is

y = mx + c

Given

3x - 2y = - 16 ( subtract 3x from both sides )

- 2y = - 3x - 16 ( divide all terms by - 2 )

y = \frac{3}{2} x + 8 ← in slope- intercept form

7 0
3 years ago
Read 2 more answers
Solve this. Please and thank you.
Cerrena [4.2K]
The answer is d) -3/2=x
8 0
3 years ago
I need help like now please!!!!! simplify the expression : 7y + 3x + 3 - 2y + 6
Deffense [45]
Simplified: 3x+7y+(-2y)+9
Coefficient of y: 5
Constant: 3 and 6
4 0
3 years ago
Other questions:
  • Which value of m makes the statement true? 92-2m ≤7+3m<br><br> A) 12<br> B) 17<br> C) 7<br> D) 9
    11·2 answers
  • HELP ME PLEASEEEEEEEEEE
    7·1 answer
  • A prefix kilo in the metric system means ___ units. A. 100 B 10 C.1,000 D.1,000,000
    9·2 answers
  • What is 10% on sale for sale on $ 37.89
    11·1 answer
  • When subtracting decimals with the same sign you?? what does it mean???
    6·2 answers
  • Malia is placing a barrier around the edge of a circular path with a diameter of 13 m. The barriers are in lengths of 2.5 m.
    9·2 answers
  • Identify the quadratic function from the four functions
    7·1 answer
  • How would you describe this pattern's rule? 65, 62, 59, 56, 53,50
    12·2 answers
  • Please help me!! Will give Brainiest and stars if correct. Please help!
    7·2 answers
  • This is an old meme but its still funny
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!