Question

HCF of 2x2 - x - 1 and 4x2 + 8x + 3 is
equal to
(A) X-1
(B) x +1
(C) 2x - 1
(D) 2x + 1

Answer 1

Answer:

( 2 x + 1 )

Step-by-step explanation:

2x^2 - x - 1

=2 x^2 - 2x + 1x - 1

= 2x (x-1)+1(x-1)

= ( x - 1 )(2x + 1)

4x^2+8x+3

= 4x^2+2x+6x+3

=2x(2x+1)+3(2x+1)

=(2x+1)(2x+3)

Therefore,H.C.F is (2x+1)