Question

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.

Answer 1

Compute (b - 2c)(-3b + c) = -3b^2 + bc + 6bc - 2c^2 = -3b^2 + 7bc - 2c^2.

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

(The other statements are false.)