Which statements are true about the fully simplified product of (b minus 2 c)(negative 3 b + c)? Select two options.

The simplified product has 2 terms.
The simplified product has 4 terms.
The simplified product has a degree of 2.
The simplified product has a degree of 4.
The simplified product, in standard form, has exactly 2 negative terms.

Respuesta :

Answer:

The simplified product has 2 terms.

The simplified product, in standard form, has exactly 2 negative terms.

Step-by-step explanation:

(b-2c)(-3b+c)

distribute and you will get

-3b^2+bc+6bc-2c^2

combine like terms

-3b^2+7bc-2c^2

Answer: The correct options are:

C) The simplified product has a degree of 2.

E) The simplified product, in standard form, has exactly 2 negative terms.

Step-by-step explanation:

Consider the provided information.

[tex](b-2c)(-3 b + c)[/tex]

Now we need to simplify the above expression as shown.

[tex]b(-3b+c)-2c(-3 b + c)[/tex]

[tex]-3b^2+bc+6bc-2c^2[/tex]

Add the like terms as shown.

[tex]-3b^2+7bc-2c^2[/tex]

The above simplified form has 3 terms with a degree of 2.

Also the product has exactly 2 negative terms.

Hence, the correct options are:

C) The simplified product has a degree of 2.

E) The simplified product, in standard form, has exactly 2 negative terms.