Question

factorise 4ycube -2y square - 4y+2​

Answer 1

Correction:

Factorize 4y³-2y²-4y+2

Solution:

Let p(y) represent the given polynomial

We have,

p(y)=4y³-2y²-4y+2

=2y²(2y-1)-2(2y-1)

=(2y²-2)(2y-1)

We know that,

•By Remainder Theorm,

Any polynomial is equal to zero

f(y)=(2y²-2)(2y-1)

→(2y²-2)(2y-1)=0

→2(y²-1)(2y-1)=0

→(y²-1)(2y-1)=0

→(y+1)(y-1)(2y-1)=0

→y=1 or -1 or -1/2