Verified answer

30x^3 – 42x^2 +5x -7

30x^3 + 5x – 42x^2 - 7

5x(6x² + 1) - 7(6x² + 1)

(6x² + 1)(5x - 7)

.

The back area is very obtrusive. a million(5x-7) = a million(5x-7) then you certainly examine out 30x^3 and 42x^2. the utmost person-friendly ingredient is 6x^2, for this reason you factorise it to 6x^2(5x-7). Then, you combine the two and you get (6x^2+a million)(5x-7)

(5x) ( 6 x ² + 1 ) - 7 ( 6 x ² + 1 )

( 6 x ² + 1 ) ( 5x - 7 )

(6x^2 + 1)(5x - 7)