60. Students were asked to write a trinomial that could not be factored using integers.
Patricia wrote: x2 + 5x - 14
Shelly wrote: x2 - x - 30
Melanie wrote: x2 + 4x - 2
Lisa wrote: x2 + 4x - 5
Which student followed the given directions?
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Respuesta :

Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.

What is a quadratic equation?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Patricia wrote:

[tex]\rm x^2+5x-14=0\\\\\rm x^2 -2x+7x-14=0\\\\\rm (x-2)(x+7)[/tex]

Shelly wrote:

[tex]\rm x^2-x-30=0\\\\\rm x^2-6x+5x-30=0\\\\\rm (x-6)(x+5)=0[/tex]

Melanie wrote:

[tex]\rm x^2+4x-2=0[/tex]

Here is the value of D:

[tex]\rm D = \sqrt{4^2-4(1)(-2)}[/tex]

D = √24

Lisa wrote:

[tex]\rm x^2+4x-5=0\\\\\rm x^2-x+5x-5=0\\\\\rm (x-1)(x+5)[/tex]

Thus, Melanie write the quadratic equation x^2 + 4x - 2 according to the directions that write a trinomial that could not be factored using integers.

Learn more about quadratic equations here:

brainly.com/question/2263981

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