Respuesta :
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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