JoshuaMH
contestada

Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in increasing order.
x 3 + 2x 2 - x - 2 = (x +

Respuesta :

Answer:

[tex]x^3+2x^2-x-2=(x+1)(x-1)(x+2)[/tex]

Step-by-step explanation:

We have given equation : [tex]x^3+2x^2-x-2=(x+[/tex]

To find : the missing numbers

We have given that missing numbers complete the factorization

so, we find the factors of the given equation

[tex]x^3+2x^2-x-2=0[/tex]

with the help of graph(attached) we find the roots of the equation or you can also take help of hit n trial method.

Roots of the equation are = 1,-1,-2

therefore the factors are (x+1)(x-1)(x+2)

and the missing terms are the factors of the equation = (x+1)(x-1)(x+2)


Ver imagen DodieZollner
boffeemadrid

Answer:

[tex](x-1)>(x+1)>(x+2)[/tex]

Step-by-step explanation:

The given equation is:

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

Factorizing the above equation, we get

[tex](x+1)(x^2+x-2)[/tex]

[tex](x+1)(x^2+2x-x-2)[/tex]

[tex](x+1)(x(x+2)-1(x+2))[/tex]

[tex](x+1)(x-1)(x+2)[/tex]

which is the required factorized form of the given equation.

Now, the numbers in increasing order are:

[tex](x-1)>(x+1)>(x+2)[/tex]

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