Respuesta :

Which of the binomials below is a factor of this trinomial? 

x2 + x - 20







A.

x - 4








B.

x + 2








C.

x - 2








D.

x + 4

The answer is a).     x - 4

Answer:

(x-4) is a factor

Step-by-step explanation:

[tex]x^2 + x - 20[/tex]

To factor this trinomial , we find out two factors whose product is -20 and sum is +1

[tex]5 * (-4)= -20[/tex]

[tex]5+(-4)= +1[/tex]

Now we use factors 5 and -4

[tex]x^2 +5x -4x - 20[/tex]

[tex](x^2 +5x)+(-4x - 20)[/tex] Take out GCF from each group

[tex]x(x+5)-4(x+5)[/tex]

Factor out x+5

[tex](x+5)(x-4)[/tex]

So (x-4) is a factor

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