Class 9 Exam > Class 9 Questions > Factorise by splitting the middle term2x2- 11... Start Learning for Free
Factorise by splitting the middle term 2x2 - 11x + 12
- a)(2x+3)(x+4)
- b)(x+3)(2x-4)
- c)(x-3)(2x-4)
- d)(2x-3)(x-4)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3...
Most Upvoted Answer
Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3...
Free Test
FREE
| Start Free Test |
Community Answer
Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3...
Solution:
The given expression is 2x² - 11x + 12
To factorise this expression, we need to find two numbers whose product is 2 × 12 = 24 and whose sum is -11.
Let's list all the possible pairs of numbers whose product is 24.
1 × 24
2 × 12
3 × 8
4 × 6
Out of these pairs, the only pair whose sum is -11 is 3 and -8.
Therefore, we can split the middle term as -8x + 3x.
2x² - 8x + 3x + 12
Now, we can factorise the expression by grouping.
2x(x - 4) + 3(x - 4)
(2x + 3)(x - 4)
Hence, the correct answer is option 'D': (2x - 3)(x - 4).
The given expression is 2x² - 11x + 12
To factorise this expression, we need to find two numbers whose product is 2 × 12 = 24 and whose sum is -11.
Let's list all the possible pairs of numbers whose product is 24.
1 × 24
2 × 12
3 × 8
4 × 6
Out of these pairs, the only pair whose sum is -11 is 3 and -8.
Therefore, we can split the middle term as -8x + 3x.
2x² - 8x + 3x + 12
Now, we can factorise the expression by grouping.
2x(x - 4) + 3(x - 4)
(2x + 3)(x - 4)
Hence, the correct answer is option 'D': (2x - 3)(x - 4).
 | Explore Courses for Class 9 exam |  |
Top Courses for Class 9View all
Top Courses for Class 9
Question Description
Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer?.
Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? for Class 9 2026 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer?.
Solutions for Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Factorise by splitting the middle term2x2- 11x + 12a)(2x+3)(x+4)b)(x+3)(2x-4)c)(x-3)(2x-4)d)(2x-3)(x-4)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 9 tests.
| Explore Courses for Class 9 exam | |
Top Courses for Class 9
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
