Casey is dividing x3 - 2x2 - 10x + 21 by x2 + x - 7 using a division table. His work is shown here. What is the value of A? –3 –1 1 3

Respuesta :

Answer:-3

Step-by-step explanation:

The value of x for the zero of the function is  3.

The given parameters:

  • [tex]x^3 - 2x^2 - 10x+ 21[/tex] divisor [tex]x^2 + x - 7[/tex]

The long division is performed as follows;

                                x  -  3

                           ---------------------------------

      x² + x - 7   √ x³ - 2x² -10x + 21

                          - (x³ + x² - 7x)

                         ----------------------------

                                  -3x² - 3x + 21

                                 - (-3x² -3x  + 21)

                          ---------------------------------

                                             0

The value of x for the zero of the function is calculated as follows;

x - 3 = 0

x = 3

Thus, the value of x for the zero of the function is  3.

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