Answer:

2x³ + 9x² - 33x + 14 = 0

To solve the problem, I'll be using synthetic division. Use the given root (2) to divide the equation and turn it to a trinomial.

In case you are unfamiliar with synthetic division, I included a simple explanation for each step:

1. List the given root and the numerical coefficient of each variable (in order).

2|     2     9     -33     14

2. Bring down the first coefficient.

2|     2     9     -33     14

      2

3. Multiply the number then bring it up below the next coefficient. Add. Repeat 'til you reach the last one.

2|     2     9     -33     14

             4       26    -14  

      2    13       -7       0

4. The numbers you end up with are now the coefficients of the quotient. Remember that the quotient is one degree lower than the original equation.

2x² + 13x - 7 = 0

Now that we have the quotient, we can further factor it to get the other two roots.

2x² + 13x - 7 = 0

(2x - 1)(x + 7) = 0

2x - 1 = 0, x + 7 = 0

2x = 1, x = -7

x = 1/2, -7            

Step-by-step explanation:

Hope this helps!          

Answer:

=20

Step-by-step explanation:

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