Factorize the given equation 2y3+y2-2y-1.
Factorize2y3+y2-2y-1.
First, take out the common terms.
2y3+y2-2y-1=y2(2y+1)-1(2y+1)
=(2y+1)(y2–1)
=(2y+1)(y2–12)
=2y+1y+1y-1 [∴a2-b2=a+ba-b]
=2y+1y+1y-1
Hence the factored expression is(2y+1)(y+1)(y-1).
Factorise:
(i) x3 − 2x2 − x + 2 (ii) x3 + 3x2 −9x − 5
(iii) x3 + 13x2 + 32x + 20 (iv) 2y3 + y2 − 2y − 1