Class 8 Exam > Class 8 Questions > Divide6p5+18p4−3p2by3p2.a)6p3−6p2...
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Divide 6p5+18p4−3p2 by 3p2.
- a)6p3−6p2+1
- b)2p3−6p2−1
- c)2p3+6p2−1
- d)2p3+6p2+1
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Divide6p5+18p4−3p2by3p2.a)6p3−6p2+1b)2p3−6p2−1...
Understanding the Problem
To divide the polynomial 6p^5 + 18p^4 - 3p^2 by 3p^2, we will apply polynomial long division.
Step-by-Step Division Process
1. Divide the Leading Terms
- Divide the leading term of the dividend (6p^5) by the leading term of the divisor (3p^2).
- Result: 2p^3.
2. Multiply and Subtract
- Multiply the entire divisor (3p^2) by the result (2p^3):
- 3p^2 * 2p^3 = 6p^5.
- Subtract this from the original polynomial:
- (6p^5 + 18p^4 - 3p^2) - 6p^5 = 18p^4 - 3p^2.
3. Repeat the Process
- Now, divide the new leading term (18p^4) by 3p^2:
- Result: 6p^2.
- Multiply and subtract:
- 3p^2 * 6p^2 = 18p^4.
- (18p^4 - 3p^2) - 18p^4 = -3p^2.
4. Final Division
- Divide -3p^2 by 3p^2:
- Result: -1.
- Multiply and subtract:
- 3p^2 * (-1) = -3p^2.
- (-3p^2) - (-3p^2) = 0.
Final Result
Combining all results we get:
- 2p^3 + 6p^2 - 1.
Thus, the correct answer is option 'C': 2p^3 + 6p^2 - 1.
To divide the polynomial 6p^5 + 18p^4 - 3p^2 by 3p^2, we will apply polynomial long division.
Step-by-Step Division Process
1. Divide the Leading Terms
- Divide the leading term of the dividend (6p^5) by the leading term of the divisor (3p^2).
- Result: 2p^3.
2. Multiply and Subtract
- Multiply the entire divisor (3p^2) by the result (2p^3):
- 3p^2 * 2p^3 = 6p^5.
- Subtract this from the original polynomial:
- (6p^5 + 18p^4 - 3p^2) - 6p^5 = 18p^4 - 3p^2.
3. Repeat the Process
- Now, divide the new leading term (18p^4) by 3p^2:
- Result: 6p^2.
- Multiply and subtract:
- 3p^2 * 6p^2 = 18p^4.
- (18p^4 - 3p^2) - 18p^4 = -3p^2.
4. Final Division
- Divide -3p^2 by 3p^2:
- Result: -1.
- Multiply and subtract:
- 3p^2 * (-1) = -3p^2.
- (-3p^2) - (-3p^2) = 0.
Final Result
Combining all results we get:
- 2p^3 + 6p^2 - 1.
Thus, the correct answer is option 'C': 2p^3 + 6p^2 - 1.
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Community Answer
Divide6p5+18p4−3p2by3p2.a)6p3−6p2+1b)2p3−6p2−1...
C)2p³+6p²-1
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Divide6p5+18p4−3p2by3p2.a)6p3−6p2+1b)2p3−6p2−1c)2p3+6p2−1d)2p3+6p2+1Correct answer is option 'C'. Can you explain this answer?
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Divide6p5+18p4−3p2by3p2.a)6p3−6p2+1b)2p3−6p2−1c)2p3+6p2−1d)2p3+6p2+1Correct answer is option 'C'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Divide6p5+18p4−3p2by3p2.a)6p3−6p2+1b)2p3−6p2−1c)2p3+6p2−1d)2p3+6p2+1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Divide6p5+18p4−3p2by3p2.a)6p3−6p2+1b)2p3−6p2−1c)2p3+6p2−1d)2p3+6p2+1Correct answer is option 'C'. Can you explain this answer?.
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