# If (x3

If (x - 2) is a factor of the polynomial (x3 + mx2 – x + 6) then it must satisfy it.

So, putting x = 2 the polynomial must be zero.

Putting x = 2 and equating to zero.

= (23 + m22 –2 + 6)

= 4m + 12 = 0

= m = -3

If we divide f(x) = (x3 + mx2 –x + 6) by (x - 3) remainder can be find at value of –

(x - 3) = 0

Or x = 3

So we will put x = 3 in f(x) = (x3 + mx2 – x + 6)

f(3) = (33 + m32 – 3 + 6)

= 30 + 9m

So remainder = 30 + 9m

= 30 + 9(-3) = 30 - 27 = 3

So, r = 3.

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The text passage contains a mathematical problem and its solution. It deals with finding the value of 'm' when (x - 2) is a factor of the polynomial (x^3 + mx^2 - x + 6), and then finding the remainder when the same polynomial is divided by (x - 3).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# If (x3

If (x - 2) is a factor of the polynomial (x3 + mx2 – x + 6) then it must satisfy it.

So, putting x = 2 the polynomial must be zero.

Putting x = 2 and equating to zero.

= (23 + m22 –2 + 6)

= 4m + 12 = 0

= m = -3

If we divide f(x) = (x3 + mx2 –x + 6) by (x - 3) remainder can be find at value of –

(x - 3) = 0

Or x = 3

So we will put x = 3 in f(x) = (x3 + mx2 – x + 6)

f(3) = (33 + m32 – 3 + 6)

= 30 + 9m

So remainder = 30 + 9m

= 30 + 9(-3) = 30 - 27 = 3

So, r = 3.

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How useful is this solution?
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Structural Organisation In Animals-I54 mins
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Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
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In each of the foRD Sharma - Mathematics

In each of the foRD Sharma - Mathematics

When (x31</sRS Aggarwal & V Aggarwal - Mathematics

Find the remaindeRS Aggarwal & V Aggarwal - Mathematics

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When p (x) = x<suRS Aggarwal & V Aggarwal - Mathematics

When p (x) = x<suRS Aggarwal & V Aggarwal - Mathematics

(x +1) is a factoRS Aggarwal & V Aggarwal - Mathematics
user
The text passage contains a mathematical problem and its solution. It deals with finding the value of 'm' when (x - 2) is a factor of the polynomial (x^3 + mx^2 - x + 6), and then finding the remainder when the same polynomial is divided by (x - 3).

TYPE: SINGLE_QUESTION_WITH_ANSWER