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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.

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99165+67894321-9872345​
julsineya [31]

Answer:

58121141

Step-by-step explanation:

99165+67894321= 67993486  

67993486-9872345= 58121141

6 0
3 years ago
Explain the following in complete sentences:
Soloha48 [4]

Answer:

The answer is that they are both paralleagrams.

Step-by-step explanation:

Hope this helps

8 0
2 years ago
A<br> 116°<br> 27°<br> .Y<br> 37°<br> Z<br> A. AZ<br> B. ZY<br> C. AY<br> D. ZW
Damm [24]

Answer:

B.  ZY

Step-by-step explanation:

The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.

3 0
3 years ago
HELP PICTURE SHOWN!!!!
laila [671]
I hate APEX!

A is right since the graph would start at 2 and go towards negative infinity

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6 0
3 years ago
Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?
Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:  

sale price = regular price less discount

    $374    =           c     -     $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c  =   $440.  This is the regular price.

 $66

---------- = 0.15                      This is the fraction of the regular price by

$440                                   which the regular price is reduced.

Then the percentage of this discount was   0.15(100%) = 15%

8 0
3 years ago
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