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
fomenos
3 years ago
12

What is the completely factored form of f(x)=x3+5x2+4x−6?

Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
You might be interested in
Ken drew a pair of intersecting rays and marked a angle between them.
andre [41]

Answer:

Option 3 is the best option that compares the pair of intersecting rays with the angle

Step-by-step explanation:

The definition of angle says that an angle is a shape that is produced by the intersection of two rays that have a common end point.

A ray is a line segment that has only one end point and is extended infinitely in a unique direction

So Yeah. :) Hope I've helped

6 0
3 years ago
Identify the closest perfect squares less than and greater than the radicand below, respectively.
wariber [46]
It would be A because they’re both perfect squares
3 0
3 years ago
Jim had one hour to get to the
k0ka [10]
Jim has 27.5 minutes left to get to the airport.
7 0
3 years ago
I'm supposed to write out an algebraic equation, and then solve the equation. If you can help me, with work shown, you'll get vo
Arada [10]

Answer:

simple just follow me and mark it brainliest

Step-by-step explanation:

LET THE THREE CONSECUTIVE EVEN INTEGERS BE

(x+2) ,(x+4) ,(x+6)

then

according to the question

4(x+2) – (x+6) = 2(x+4) + 6

4x + 8 – x – 6= 2x + 8+6

3x +2 = 2x + 14

3x – 2x= 14 –2

x= 12

the numbers are

14

16

18

5 0
3 years ago
Read 2 more answers
I need help on Section 5- Topic 10 Algebra Nation, Algebra 1 Practice book. If anyone could give me answers to the questions, I
Pavlova-9 [17]

Step-by-step explanation:

Just post a pic of the page

5 0
2 years ago
Other questions:
  • Witch of the following are the factors of 4b^2 - 16?
    10·1 answer
  • Which unit could be used to measure the weight of a cat?
    14·1 answer
  • Find the sum of the first seven terms of the sequence 4, 12, 36, 108,
    8·2 answers
  • Use 10 point bins 90-99 and 80-89
    8·2 answers
  • How to take fourier transform of lorentzian cauchy?
    10·1 answer
  • A clerk at a local camera shop earns a 5% commission on all sales. How much commission does the clerk earn on a $500 sale?
    11·1 answer
  • Jack and Jill are walking to school. After 20 minutes, Jack walked 4/5 mile. After 25 minutes, Jill walked 5/6 mile. What is the
    9·1 answer
  • A company rents movies that can be streamed online or downloaded to a computer. The company charges a one-time sign-up fee and a
    5·2 answers
  • Hat term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?
    9·1 answer
  • 1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!