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
QveST [7]
2 years ago
7

2x^3-x^2+x-2 factorize​

Mathematics
2 answers:
Alex Ar [27]2 years ago
5 0
<h2>Solution :</h2>

  • 2x³ - x² + x - 2

put x = 1,

  • 2•(1³) - 1² + 1 - 2

  • 2 - 1 + 1 - 2

  • 0

it's value is 0.

hence, it's a solution

divide 2x³ - x² + x - 2 by (x - 1)

  • 2x² + x + 2

it can be written as :

  • (x - 1)(2x² + x + 2)

bekas [8.4K]2 years ago
4 0

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

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

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

You might be interested in
There was a 6 square foot piece of wrapping paper for a birthday present. It takes 3 3/8 feet of square feet of the paper to wra
Citrus2011 [14]

Answer: However, in real life it depends on the shape of the actual presents. If two sheets are used for the 2 presents. There should be enough left from those sheets to use for the third present. (They should be taped together.)


Step-by-step explanation:  6/3 then 3 over 8 ––> 3/8

6/ 27/8

= 6/1 / divide 27/8

= 6^2 /1 x 8/27 ^9              (^) –––>  this mean square root of 2 or 9

6 cancels and 27 cancel

= 16/9

=1  7/9

However  you will still need to buy 2 sheets




3 0
3 years ago
A scale on a map shows that 33 centimeters represents 10 kilometers.
tigry1 [53]

What’s the question?

4 0
3 years ago
An art dealer is trying to determine whether the age of a painting plays a significant role in its price at auction. She collect
klasskru [66]

Answer:

-0.20

Step-by-step explanation:

Given the data:

Age at auction (x) ____price sold (y)

391

51

32

84

47

104

88

43

470

51

Y:

76.9

95.4

86.3

49.3

80

57

47.8

80

70

86.9

General formula for a simple linear regression :

y = ab + c

Where ;

y = predicted variable ; a = slope / gradient

b = predictor / independent variable ; c = intercept

From the result obtained from the calculator :

y = -0.01246X + 74.65552

Correlation Coefficient is used to measure the strength of relationship between linear variables.

The regression Coefficient obtained is - 0.20

This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.

5 0
3 years ago
NEED HELP PLEASE!!!!!
Ghella [55]
1)  14/20=21/25+x
      x=5
6 0
3 years ago
Write an inequality to compare the decimals: 0.149 and 0.128. .
Alecsey [184]

여러가지 보이지 않은 벽들 때문에

한 사람의 외로움과 슬픔을 다 담을 순 없지만, 그래서 더 음악에 매달리게 되는 것

그대의 외로움 내가 다 알 수 없지만

내 표정이던 말투던, 목소리던

너를 안아줄 수만 있다면 참 좋겠다.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Before sunrise, the temperature was 22.4°F below zero. By noon, it had risen 12.8°F. What expression can be used to find the
    5·2 answers
  • A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldf
    12·1 answer
  • Alexa mom has 3 kids. Their names are Ally and Alex, what is the 3rd ones name.?
    9·2 answers
  • Two numbers are in the ratio 3: 7. If 1 is added to the smaller number and 7 is added to the larger, they will be in the ratio 1
    5·1 answer
  • Devaughn is 10 years older than Sydney. The sum of their ages is 104. What is Sydney's age?<br>I​
    6·1 answer
  • How fast are you going if you fly 1500 kilometers in just 2 hours?
    9·2 answers
  • FOR A TEST!! HELP! Complete the similarity ratio for the similar triangles.
    7·1 answer
  • I need help with Geometry
    12·1 answer
  • Multiply.
    6·1 answer
  • What does 0.2 in the highlighted cell mean?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!