Math, asked by bindutony4632, 5 months ago

Factorise y³-6y²+3y+10​

Answers

Answered by PharohX
3

Step-by-step explanation:

 {y}^{3}  - 6 {y}^{2}  + 3y + 10 \\  \\  = {y}^{2}  (y + 1) -7y (y + 1)  + 10 (y +1 ) \\  \\  =  (y + 1)( {y}^{2}  - 7y + 10) \\  \\ =  (y + 1)(y {}^{2}  - 5y - 2y + 10) \\  \\ =  (y + 1)(y(y - 5) - 2(y - 5)) \\  \\ =  (y + 1)(y - 5)(y - 2)

For finding the factors of cubic polynomial u show check when it become zero

E.g. here at y=-1. is will give zero then (y+1) will one factor

Answered by bs5209504
0

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