Question

divide each of the following polynomials by synthetic division method and also by linear division method.write the quotient and the remainder. (y3-3y2+5y-1)÷(y-1)​

Answer 1

Answer:

Quotient=y2 −2y+3

Remainder = 2

Step-by-step explanation:

Synthetic Division :

Divided = y3 −3y2+5y−1

Divisor =  y-1

Opposite of -1 = 1

The coefficient from of the quotient is (1,-2, 3)  

∴Quotient= y2 −2y+3

Remainder = 2

Linear Method :

y3  −3y2+5y−1 =y  2

(y−1)−2y(y−1)+3(y−1)+3−1

=(y−1)×(y2 −2y+3)+2

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