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Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x?
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Use remainder theorem to check whether 7 + 3 X is factor of 3 x square...
Remainder Theorem Explanation:
The remainder theorem states that if a polynomial f(x) is divided by (x - a), the remainder is equal to f(a). In other words, if we substitute x = a into the polynomial, the result will be the remainder when f(x) is divided by (x - a).
Given Polynomial:
f(x) = 3x^2 + 7x
g(x) = 7 + 3x
Using Remainder Theorem:
To check if g(x) is a factor of f(x), we need to divide f(x) by g(x) and check if the remainder is zero.
Dividing f(x) by g(x):
When we divide 3x^2 + 7x by 3x + 7 using polynomial long division, we get:
3x^2 + 7x = (3/3)x^2 + (7/3)x * (3x + 7) + (0)
Therefore, the remainder is 0.
Conclusion:
Since the remainder is 0 when f(x) is divided by g(x), we can conclude that 7 + 3x is a factor of 3x^2 + 7x.
The remainder theorem states that if a polynomial f(x) is divided by (x - a), the remainder is equal to f(a). In other words, if we substitute x = a into the polynomial, the result will be the remainder when f(x) is divided by (x - a).
Given Polynomial:
f(x) = 3x^2 + 7x
g(x) = 7 + 3x
Using Remainder Theorem:
To check if g(x) is a factor of f(x), we need to divide f(x) by g(x) and check if the remainder is zero.
Dividing f(x) by g(x):
When we divide 3x^2 + 7x by 3x + 7 using polynomial long division, we get:
3x^2 + 7x = (3/3)x^2 + (7/3)x * (3x + 7) + (0)
Therefore, the remainder is 0.
Conclusion:
Since the remainder is 0 when f(x) is divided by g(x), we can conclude that 7 + 3x is a factor of 3x^2 + 7x.
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Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x?
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Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x?.
Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use remainder theorem to check whether 7 + 3 X is factor of 3 x square + 7x?.
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