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
makvit [3.9K]
2 years ago
15

SHOW that (x + 3) and (x - 2) are factors of f(x) = x4 + 10x3 + 23x2 - 34x - 120.

Mathematics
1 answer:
Anna35 [415]2 years ago
8 0
If f(x) = 0 then it is a root

x + 3 = 0
x=-3
f(-3) = (-3)^4 + 10(-3)^3 + 23(-3)^2 - 34(-3) - 120 = 0

x - 2 = 0
x=2
f(2) = (2)^4 + 10(2)^3 + 23(2)^2 - 34(2) - 120 = 0
You might be interested in
Math 1125 – Unit 1 ~ Gunkelman Practice for Section 1.5 The Basics of Graphing Prep Skills The table represents the Seven Summit
marta [7]

According to the table, the highest mountain in Africa is Mt. Kilimanjaro with 19,340 feet in height. The highest mountain in Antarctica is Vinson Massif with 16,864 feet in height.

Then, we subtract

19,340-16,864=2,476<h2>The difference between the heights of the highest mountain in Africa and the highest mountain in Antarctica is 2,476 feet.</h2>
7 0
1 year ago
What is the inverse of the function f(x) = x +3?
vladimir1956 [14]
The inverse of the function f(x)= x+3 would be x-3.
5 0
3 years ago
The coffee counter charges ?"$11.00" per pound for kenyan french roast coffee and ?"$13.00" per pound for sumatra coffee. How mu
zloy xaker [14]

Answer: The answer is 13 ponds of each type should be used.

Step-by-step explanation:  Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.

Let 'x' pound and 'y' pound of  kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.

So, we have

x+y=26,~~~~~~~~~~~~~~~~~~~~~~(A)\\\\11x+13y=12\times 26.~~~~~~~~~~(B)

Multiplying equation (A) by 11 and subtracting from equation (B), we have

13y-11y=12\times26-11\times26\\\\\Rightarrow 2y=26\\\\\Rightarrow y=13,

and from equation (A),

x=26-13=13.

Thus, 13 pounds of each type of coffee should be used.

8 0
3 years ago
Numerical expression 5+9
ycow [4]
5+9=14 in numerical expression
4 0
3 years ago
What is the point 2,1 dilated by the scale factor of 2.5
Inga [223]
The answer would be -0.4
6 0
3 years ago
Read 2 more answers
Other questions:
  • My index finger is 3.2in long... so in cm is it 8.128cm?
    9·2 answers
  • Here's a graph of a linear function. Write the
    11·2 answers
  • How many turning points are in the graph of the polynomial function?
    15·2 answers
  • Solve.<br> (2x+24)(4x+36)
    11·2 answers
  • What's a number that has exactly three factors???
    7·1 answer
  • I NEED HELP PLEASE !!!
    14·1 answer
  • Question 3.3. Marco is selling floral arrangements. Each arrangement uses 1 vase and 11 orchids. Each vase costs Marco $4.00. Le
    5·2 answers
  • (Worth 11 points) I have this semester a unit test and i reallllllly need help wif this question, I will mark you. But im really
    9·2 answers
  • If A || B and B Y, then__<br><br> A. X|A<br> B. A|Y<br> C. X||Y<br> D. A||Y
    9·1 answer
  • What is the median and mean amount of sugar? pictures attached
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!