jtobin2003
jtobin2003 jtobin2003
  • 06-01-2019
  • Mathematics
contestada

Which of the following is a factor of 8x2 + 21x + 10?

A) 2x + 5
B) 4x + 5
C) x + 2
D) None of the above

Respuesta :

rejkjavik rejkjavik
  • 06-01-2019

Answer:

C) x + 2

Step-by-step explanation:

we are given

[tex]8x^2+21x+10[/tex]

We can split 21

[tex]21=16+5[/tex]

[tex]8x^2+(16+5)x+10[/tex]

[tex]8x^2+16x+5x+10[/tex]

now, we can use grouping method

[tex](8x^2+16x)+(5x+10)[/tex]

now, we can factor it

[tex]=8x(x+2)+5(x+2)[/tex]

[tex]=(8x+5)(x+2)[/tex]

we can see that x+2 factor only maches

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