Respuesta :

Answer:

(x + 6)(x - 3)

Step-by-step explanation:

The numbers that should be placed in boxes from left to right are [tex]6[/tex] and [tex]3[/tex] i.e. [tex](x+6)(x-3)[/tex]

What is expression ?

Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]x^2+3x-18[/tex]

Now,

Using the mid term split method,

[tex]x^2+3x-18[/tex]

Taking factor of [tex]18[/tex] such that sum of those factors is [tex]3[/tex],

So,

Rewrite the expression,

i.e.

[tex]x^2+6x-3x-18[/tex]

Now, taking common,

i.e.

[tex]x(x+6)-3(x+6)[/tex]

Now,

[tex](x+6)(x-3)[/tex]

So,

We have the solution,

[tex]x^2+3x-18=(x+6)(x-3)[/tex]

So,

The numbers that should be placed in boxes from left to right are [tex]6[/tex] and [tex]3[/tex] i.e. [tex](x+6)(x-3)[/tex].

Hence, we can say that the numbers that should be placed in boxes from left to right are [tex]6[/tex] and [tex]3[/tex] i.e. [tex](x+6)(x-3)[/tex].

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