mitchelldm7805 mitchelldm7805
  • 25-03-2020
  • Mathematics
contestada

Which model represents the factors of X^2+9x+8

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 02-04-2020

Answer:

The models have tiles corresponding to x+8 and x+1

Step-by-step explanation:

We want to find the model that represents factors of

[tex] {x}^{2} + 9x + 8[/tex]

We split the middle term to get:

[tex] {x}^{2} + 8x + x + 8[/tex]

We factor by grouping to obtain:

[tex]x(x + 8) + 1(x + 8)[/tex]

We collect common factors again to get:

[tex](x + 8)(x + 1)[/tex]

The models have tiles corresponding to x+8 and x+1

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