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.

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Answer:

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

We can conclude that the following that is true about the terms in the simplified product as having:

C. a degree of 2.

E. in standard form, exactly 2 negative terms.

What is a Term in an Expression?

In algebra, a term in an expression can be a coefficient and a variable, a variable only, or a constant.

Given:

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

Expand

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

-3b² + bc + 6bc - 2c²

Add like terms

-3b² + 7bc - 2c² (simplified product)

Therefore, we can conclude that the following that is true about the terms in the simplified product as having:

C. a degree of 2.

E. in standard form, exactly 2 negative terms.

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