Respuesta :

Answer:

it's answer is D. x+9

Step-by-step explanation:

x² + 5x - 36

= + ( 9 - 4)x - 36

= x² + 9x - 4x -36

= x ( x + 9) - 4( x + 9)

= ( x + 9 ) ( x - 4)

The factor of the given trinomial will be option A)x+ 9

What is Quadratic equation?

  • In algebra, a quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no ax^2 term
  • The meaning of QUADRATIC EQUATION is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

How to solve this problem?

The steps are as follow:

  • Given trinomial equation x² + 5x-36
  • Factor can be find out as follow:

x² + 5x-36

= x² + ( 9 - 4)x - 36

= x² + 9x - 4x -36

= x ( x + 9) - 4( x + 9)

= ( x + 9 ) ( x - 4)

So the factor of the given trinomial will be option (D) x+ 9

Learn more about quadratic equation here:

https://brainly.com/question/1214333

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