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The quotient if the polynomial f(x) = 50x2 - 90x - 25 leaves a remainder of -5, when divided by 5x-10, will be ________.
- a)10x + 2
- b)10x - 2
- c)-10x + 2
- d)-10x - 2
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The quotient if the polynomial f(x) = 50x2- 90x - 25 leaves a remainde...
We know that,
f(x) = q(x) × g(x) + r(x)
Where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder.
∴ 50x2 - 90x - 25 = q(x) × 5x - 10 - 5
50x2 - 90x - 25 + 5 = q(x) × 5x - 10
50x2 − 90x − 205x − 10 = q(x)
We get, q(x) = 10x + 2
f(x) = q(x) × g(x) + r(x)
Where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder.
∴ 50x2 - 90x - 25 = q(x) × 5x - 10 - 5
50x2 - 90x - 25 + 5 = q(x) × 5x - 10
50x2 − 90x − 205x − 10 = q(x)
We get, q(x) = 10x + 2
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The quotient if the polynomial f(x) = 50x2- 90x - 25 leaves a remainder of -5, when divided by 5x-10, will be ________.a)10x + 2b)10x - 2c)-10x + 2d)-10x - 2Correct answer is option 'A'. Can you explain this answer?
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