Lucas and erick are factoring the polynomial
12x3 – 6x2 + 8x – 4. lucas groups the polynomial (12x3 + 8x) + (–6x2 – 4) to factor. erick groups the polynomial (12x3 – 6x2) + (8x – 4) to factor. who correctly grouped the terms to factor? explain.

The polynomial is:
12 x³ - 6 x² + 8 x - 4
Lucas:
( 12 x³ + 8 x ) + ( - 6 x² - 4 ) = 4 x ( 3 x² + 2 ) - 2 ( 3 x² + 2 ) = 
= ( 3 x² + 2 ) ( 4 x - 2 ) = 2 ( 3 x² + 2 ) ( 2 x - 1 )
Erick:
( 12 x³ - 6 x² ) + ( 8 x - 4 ) = 6 x² ( 2 x - 1 ) + 4 ( 2 x - 1 ) = 
= ( 2 x - 1 ) ( 6 x² + 4 ) = 2 ( 3 x² + 2 ) ( 2 x - 1 )

Both students are correct. Each grouping leads to the same result. 

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.

4x 20 is 80 but if ther machine is broken then there is none you have to redo the test