Use the fundamental theorem of algebra to determine the number of roots for each polynomial function shown. f (x) = 2x3 + x2 - 7x + 1 has roots. f (x) = -3x + 5x2 + 8 has roots. f (x) = (x2 + 6)2 has roots.

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap