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Division of a Polynomial by a Monomial

State whether...

Question

State whether True or False.
Multiply: $2 m^{2} - 3 m - 1$ and $4 m^{2} - m - 1$ .
The answer is $8 m^{4} - 14 m^{3} - 3 m^{2} + 4 m + 1$ .

A

True

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B

False

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Solution

The correct option is A True
$(2 m^{2} - 3 m - 1) (4 m^{2} - m - 1), = 8 m^{4} - (12 + 2) m^{3} - (2 + 4 - 3) m^{2} + (3 + 1) m + 1 = 8 m^{4} - 14 m^{3} - 3 m^{2} + 4 m + 1$

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