I need 20 characters blah blah blah blah blah blah blah blah blah blah

Explanation:

The function is:

According to the rational roots theorem, the possible rational roots of a polynomial are the negative and positive quotients of the factors of the constant term (45 in this case) divided by the factors of the coefficient of the highest degree term (7 in this case).

Then, the possible rational roots are the divisors of 45 divided by the divisors of 7.

Then, the possible rational roots are:

Now you should test them to find out whether they are factors or not.

You need to find just one ration zero. Thus , I will show you the procedure, with one of them: use 3.

Then, you have to divide the original polynomial by x - 3.

The sythetic division is:

1. Write the root and the coefficients in this form:

+3  |   7     - 5    - 63   +45

     |

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2. Copy the first coefficient, 7, below the horizontal line:

+3  |   7     - 5    - 63   +45

     |

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        7

3. Multiply the root (3) by 7, write the product below the second coefficient, and find the sum: 3 × 7 = 21; 21 + (-5) = 16

+3  |   7     - 5    - 63   +45

     |           21

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        7      16

4. Multiply the root (3) by 16, write the product below the next coefficient, and find the sum: 3 × 16 = 48;  48 + (-63) = - 15

+3  |   7     - 5    - 63   +45

     |           21    +48

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        7      16    -15

5. Multiply the root (3) by -15, write the product below the next coefficient, and find the sum: 3 × (-15)= - 45;  -45 + 45 = 0

+3  |   7     - 5    - 63   +45

     |           21    +48   -45

=========================

        7      16    -15       0

Since the final total, which is the remainder of the division, is zero, +3 is a rational root of the polynomial.

You can now test others, to find if they are factors too.

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v