Respuesta :

If you factor this equation, you get:
[tex](x + 6)(x - 5) = 0[/tex]
Now, solve both equations for x:
[tex]x + 6 = 0 \\ x = - 6[/tex]
[tex]x - 5 = 0 \\ x = 5[/tex]
Your zeros are -6 and 5

The zeroes of the given function is 5 and -6 .

What are zeroes of an Equation ?

The values of x that fulfill the equation f(x) = 0 are the zeros of a polynomial f(x).

The zeros of the polynomial are the values of x for which the f(x) value is equal to zero, and f(x) is a function of x.

The degree of the equation f(x) = 0 determines the number of zeros in a polynomial.

To know more about Zeroes of an equation

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The given equation is function(x) = x² + x -30

x² + 6x-5x -30

x(x+6) - 5 (x+6)

(x-5)(x+6) = 0

x =5 , -6

Therefore the zeroes of the given function is 5 and -6 .