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On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)?
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On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder...
We can use polynomial long division to find the polynomial g(x).
First, we set up the division like this:
x² - x + 2
g(x) | x³ - 3x² + x
We start by dividing x into x³, which gives us x². We then multiply g(x) by x² to get x³ - x², and subtract this from x³ - 3x² + x:
x² - x + 2
___________________
g(x) | x³ - 3x² + x
x³ - x²
___________
-2x² + x
We then bring down the next term, which is -2x². We divide x into -2x², which gives us -2x. We multiply g(x) by -2x to get -2x³ + 2x², and subtract this from -2x² + x:
x² - x + 2
____________________
g(x) | x³ - 3x² + x
x³ - x²
_____________
-2x² + x
-(-2x² + 2x)
_____________
-x
Finally, we bring down the last term, which is x. We divide x into -x, which gives us -1. Therefore, the quotient is x² - x + 2, and the remainder is -1.
So, the polynomial g(x) is x² - x + 2.
First, we set up the division like this:
x² - x + 2
g(x) | x³ - 3x² + x
We start by dividing x into x³, which gives us x². We then multiply g(x) by x² to get x³ - x², and subtract this from x³ - 3x² + x:
x² - x + 2
___________________
g(x) | x³ - 3x² + x
x³ - x²
___________
-2x² + x
We then bring down the next term, which is -2x². We divide x into -2x², which gives us -2x. We multiply g(x) by -2x to get -2x³ + 2x², and subtract this from -2x² + x:
x² - x + 2
____________________
g(x) | x³ - 3x² + x
x³ - x²
_____________
-2x² + x
-(-2x² + 2x)
_____________
-x
Finally, we bring down the last term, which is x. We divide x into -x, which gives us -1. Therefore, the quotient is x² - x + 2, and the remainder is -1.
So, the polynomial g(x) is x² - x + 2.
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On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)?
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On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)?.
On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On dividing x³-3x² x 2 by a polynomial g(x) the quotient and remainder are x-2 & -2x 4 respectively find g(x)?.
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