Question

factorise : 2y cube+y sq-2y-1​

Answer 1

Step-by-step explanation:

¤Question

•Factorise:-2y^3+y^2-2y-1

¤Solution:-

》Let p(y)=2y^3+y^2-2y-1

》By trial method ▪

》p(1)=2(1)^3+(1)^2-2(1)-1

》2+1-2-1

》0

》Therefore,y-1 is a factor of this polynimal.

》Let us find the Quotient on dividing

▪Above is the dividing part.

》p(y)-2y^3+y^2-2y-1

》(y-1)(2y^2+3y+1)

》(y-1)(2y^2+2y+y+1)

》(y-1)[2y(y+1)+1(y+1)]

》(y-1)(y+1)(2y+1)