which statements are true about the fully simplified product of (b - 2c)(-3b + c)? select two options. the…

Explanation:

Step1: Expand the product

Use FOIL method: ((b - 2c)(-3b + c)=b\times(-3b)+b\times c-2c\times(-3b)-2c\times c=-3b^{2}+bc + 6bc-2c^{2}).

Step2: Combine like - terms

Combine the (bc) terms: (-3b^{2}+(1 + 6)bc-2c^{2}=-3b^{2}+7bc-2c^{2}).

Step3: Analyze the number of terms

The simplified product (-3b^{2}+7bc - 2c^{2}) has 3 terms.

Step4: Analyze the degree

The highest - sum of exponents of variables in a term is 2 (in (-3b^{2}) and (-2c^{2}) and (7bc) where (1 + 1=2)), so the degree is 2.

Step5: Analyze the sign of terms

The standard - form (-3b^{2}+7bc-2c^{2}) has 2 negative terms ((-3b^{2}) and (-2c^{2})).

Answer:

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