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n method and alsoe quotient and the remainder.0Practice set 3.31. Divide each of the following polynomiathe following polynomials by synthetic division method and aloxlinear division method. Write the quotient and the rem) (2m² - 3m + 10) = (m - 5)* 10) = (m - 5)(ii) (r + 2x +(i) (r +2r+ + 3x2 + 4x + 5) = (x + 2)(iii) ( -216) + (-6)(-6) L(iv) (2IV) (2r+ + 3.x2 + 4x - 2x) = (x + 3)22 (4 - 3x - 8) + (x + 4) (vi) (y - 3y + 5y - 1) + (y - 1)

Answer»

Solutions:- Synthetic method

Dividend:- 2x⁴+3x³-2x²+4xDivisor:- x+3opposite of :- 3 =-3

-3) 2 3 -2. 4 0 -6. 9 -21. 51_____________________ 2. -3. 7. -17. 51

Co-efficient of quotient= (2,-5,7,-17)

Quotient=. 2x³-3x²+7x-17

Remainder =. 51



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