Factor to find the zeros of the function defined by the quadratic expression. −13x^2 − 130x − 273 A) x = 7 or x = 3 B) x = 7 or x = −3 C) x = −7 or x = 3 D) x = −7 or x = −3

Respuesta :

−13x^2 − 130x − 273

= -13(x^2 + 10x + 21)

= - 13(x + 3)(x + 7)

- 13(x + 3)(x + 7) = 0

x + 3 = 0; x = -3

x + 7 = 0; x = -7

Answer

D) x = −7 or x = −3

The roots of the given quadratic equation are x=-7 of x=-3.

We have given quadratic expression

−13x^2 − 130x − 273

What is the meaning of the roots of quadratic expression?

The roots of a quadratic equation are the values of the variable that satisfy the equation

[tex]= -13(x^2 + 10x + 21)[/tex]

[tex]= - 13(x + 3)(x + 7)[/tex]

[tex]- 13(x + 3)(x + 7) = 0[/tex]

x + 3 = 0 implies x = -3

x + 7 = 0 implies  x = -7

So the option D) x = −7 or x = −3 is correct.

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