(a) use the fundamental theorem of algebra to determine the number of roots for 2x^2+4x+7 show your work
(b) what are the roots of 2x^2+4x+7 show your work.

The answer to your question is: This polynomial does not have root, it does not intercept the x-axis.

Step-by-step explanation:

a)

                                             2x² + 4x + 7

To determine the number of roots of this polinomial, just look at the higher power and that number will be the maximum possible number of roots.

In this exercise, the maximum power is 2, so this polynomial could have at most 2 roots.

b) Find the possible roots of the polynomial, which are multiples of 7

   Possible roots:  ±1, ±7

                                             2x² + 4x + 7

Use synthetic division to find the roots

                                   2     4     7       1

                                          2     6                              

                                   2     6    13                   +1 is not a root

                                   2    4     7        -1

                                        -2    -2                  

                                   2    2    5                    -1 is not a root

                                  2     4     7         7

                                         14   126                  

                                  2     18  133                  +7 is not a root

                                  2     4     7        -7

                                        -14   70                  

                                  2    -10   -77              -7 is not a root

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.