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
astraxan [27]
3 years ago
8

If f(x)=x^3-9x^2+11x+21f(x)=x 3 −9x 2 +11x+21 and x-3x−3 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebra

ically.

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

x = -1, 3, and 7

Step-by-step explanation:

Using grouping:

f(x) = x³ − 9x² + 11x + 21

f(x) = x³ − 9x² + 18x − 7x + 21

f(x) = x (x² − 9x + 18) − 7 (x − 3)

f(x) = x (x − 6) (x − 3) − 7 (x − 3)

f(x) = (x² − 6x) (x − 3) − 7 (x − 3)

f(x) = (x² − 6x − 7) (x − 3)

f(x) = (x + 1) (x − 7) (x − 3)

To use long division, see the picture.

The zeros are x = -1, 3, and 7.

You might be interested in
(-5)+(+7)=( ____) ???
Anni [7]

Answer: 2

Step-by-step explanation:

7 0
3 years ago
Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it
Andrej [43]

Answer:

it will take him <u>9 weeks </u>to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get <u>9</u>.

7 0
3 years ago
sally has 10 pounds she wants to buy 28 cans of soda which cost 26p each. how much money does she spend and does she have enough
yuradex [85]

Answer:she dosnt have enough

Step-by-step explanation:bored

7 0
2 years ago
Read 2 more answers
The graph of the function y=f(x)
jarptica [38.1K]
The range is the high and low points. 

So (5, 2] 
5 0
2 years ago
the deer population in an an area decreased by 28 each year for 6 years. find the total change in population.
Elan Coil [88]

Answer:

168 is the change in population

Step-by-step explanation:

well if u think about it all u really have to do is take 28×6 and it would help u find the change in population

4 0
2 years ago
Read 2 more answers
Other questions:
  • What percent of 132 is 40
    5·1 answer
  • Let f(x) = 2x^2+x-3 and g(x) =x-1. Perform the indicated operation, then find the domain. (F-g)(x)
    8·2 answers
  • What is the simplified form of the expression? 9. (m^7)^2 a) 2m^14 b) m^49 c) m^9 d) m^14
    8·1 answer
  • create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2:3
    8·2 answers
  • If x=6 and y=−2, evaluate the following expression:2xy​
    6·2 answers
  • Which decimal is equivalent to -3 1/8<br><br> -3.12<br> -3.1205<br> -3.18<br> -3.125
    11·2 answers
  • Question 8
    13·1 answer
  • Solve for the value of x.<br> (4x+6)°, 44°
    15·1 answer
  • Keri walks her dog every morning. The length of the walk is 0.55 kilometer on each weekday. On each weekend day the walk is 1.4
    6·2 answers
  • The function f(x) = x2 6x 3 is transformed such that g(x) = f(x − 2). find the vertex of g(x). (−1, −8) (−3, −4) (−1, −6) (−5, −
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!