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.
To learn more about the factor visit:
https://brainly.com/question/2833285