Respuesta :
Option D
Answer:
The factors of [tex]x^{2} + 9 x + 8[/tex] is (x + 8)(x +1)
Solution:
From question, given that [tex]x^{2} + 9x + 8[/tex]
To factorise the given equation, follow the below steps:
9x can be rewritten as 8x + 1x. Hence the above given equation becomes,
[tex]x^{2} + 9x + 8 = x^{2} + 8x + 1x + 8[/tex]
Rearranging the terms, we get
[tex]= x^{2} + 1x + 8x + 8[/tex]
Taking x as common from first two terms and 8 as common from last two terms, the above equation becomes,
= x(x+1)+8(x+1)
Since (x +1) is common in both the terms, we get
= (x +1)(x+8)
Hence the factors of [tex]x^{2} + 9x + 8[/tex] is (x + 8)(x +1)
