Question

The HCF of 3x2-2x-1 and 3x2-5x-2 is

Answer 1

$3 {x}^{2} - 2x - 1 = 3 {x}^{2} + x - 3x - 1 \\ \: \: \: \: \: \: \: \: \: \: \: = x(3x + 1) - 1(3x + 1) \\ \: \: \: \: \: \: \: \: \: \: \: \: = (x - 1)(3x + 1) \\ \\ \\ 3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x(x - 2) + 1(x - 2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (3x + 1)(x - 2) \\ \\ \\ \\ common \: factor \: is \: (3x + 1)$
so HCF is (3x+1)
please follow me

Answer 2

8 and 16 HCF is 8.
2x2x2x2 and 2x2x2x2x2
Common is 2x2x2x2
And is 8