Respuesta :
Given:
Trinomial [tex]x^2+12x+32[/tex]
To find:
Binomial factor of the trinomial
Solution:
Given trinomial is [tex]x^2+12x+32=0[/tex].
Let us factor this trinomial.
12x can be written as 4x + 8x.
[tex]x^2+4x+8x+32=0[/tex]
Take out x common in 1st two terms and 8x common in next two terms.
[tex]x(x+4)+8(x+4)=0[/tex]
Make sure that both brackets have common term and take that common from both.
[tex](x+4)(x+8)=0[/tex]
[tex]x+4 =0[/tex] and [tex]x+8=0[/tex]
These are binomial factors of the given trinomial.
In the option, we have x + 4 only.
Therefore x + 4 is a binomial factor of the trianomial x² + 12x + 32.
