Respuesta :

calculista

Answer:

Option C. [tex]65[/tex]

Step-by-step explanation:

we know that

The discriminant of a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to

[tex]D=b^{2}-4ac[/tex]

in this problem we have

[tex]2x^{2} +3x-7[/tex]  

so

[tex]a=2\\b=3\\c=-7[/tex]

substitute

[tex]D=3^{2}-4(2)*(-7)[/tex]

[tex]D=9+56[/tex]

[tex]D=65[/tex]

The discriminant of the giving polynomial is 65. The correct option is C. 65

The discriminant of a quadratic function

From the question, we are to determine the discriminant of the given polynomial

The given polynomial is

2x²+3x-7

This is a quadratic function

The discriminant of a quadratic function is simply the value in the square root of the quadratic formula

That is,

Discriminant, D = b² - 4ac

In the given quadratic function, 2x²+3x-7

a = 2, b = 3 and c = -7

∴ D = 3² -4(2)(-7)

D = 9 +56

D = 65

Hence, the discriminant of the giving polynomial is 65. The correct option is C. 65

Learn more on Discriminant of a quadratic function here: https://brainly.com/question/7961542

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