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If 3x2 + ax + 4 is perfectly divisible by x – 5, then the value of a is:
- a)-12
- b)-5
- c)-15.8
- d)-15.6
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value o...
3x2 + ax + 4 is perfectly divisible by x – 5,
⇒ 3 × 25 + 5a + 4 = 0
⇒ 5a = -79
∴ a = -15.8
⇒ 3 × 25 + 5a + 4 = 0
⇒ 5a = -79
∴ a = -15.8
Most Upvoted Answer
If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value o...
3x2 + ax + 4 is perfectly divisible by x – 5,
⇒ 3 × 25 + 5a + 4 = 0
⇒ 5a = -79
∴ a = -15.8
⇒ 3 × 25 + 5a + 4 = 0
⇒ 5a = -79
∴ a = -15.8
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Community Answer
If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value o...
Given Information:
3x^2 + ax + 4 is perfectly divisible by x – 5
Explanation:
When a polynomial is perfectly divisible by another polynomial, it means that when the first polynomial is divided by the second, the remainder is zero.
Using the Remainder Theorem:
When 3x^2 + ax + 4 is divided by x – 5, the remainder will be zero.
Therefore, substitute x = 5 into the polynomial to find the value of a.
Substitute x = 5 into the polynomial:
3(5)^2 + a(5) + 4 = 0
75 + 5a + 4 = 0
5a + 79 = 0
5a = -79
a = -79/5
a = -15.8
Conclusion:
The value of a is -15.8, which matches option C.
3x^2 + ax + 4 is perfectly divisible by x – 5
Explanation:
When a polynomial is perfectly divisible by another polynomial, it means that when the first polynomial is divided by the second, the remainder is zero.
Using the Remainder Theorem:
When 3x^2 + ax + 4 is divided by x – 5, the remainder will be zero.
Therefore, substitute x = 5 into the polynomial to find the value of a.
Substitute x = 5 into the polynomial:
3(5)^2 + a(5) + 4 = 0
75 + 5a + 4 = 0
5a + 79 = 0
5a = -79
a = -79/5
a = -15.8
Conclusion:
The value of a is -15.8, which matches option C.
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If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer?
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If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer?.
If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3x2+ ax + 4 is perfectly divisible by x – 5, then the value of a is:a)-12b)-5c)-15.8d)-15.6Correct answer is option 'C'. Can you explain this answer?.
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