Multiplication of Polynomials
Multiplication of Polynomials
The multiplication of expressions follow distributive property over their addition i.e.,
We shall use this property to multiply any two polynomials
Illustration: Multiply (2a+ 3b + 4) and (3a - 2b- 4)
Solution: As per given question:
The multiplication expression will be (2a+ 3b + 4) (3a - 2b- 4)
Use Distributive Law and multiply each term of the first polynomial with every term of second polynomial & this is done in the following steps:
(2a+ 3b + 4) (3a - 2b- 4)
= 2a (3a - 2b- 4) + 3b (3a - 2b- 4) + 4 (3a - 2b- 4)
= 6a2 - 4ab - 8a + 9ab - 6b2 - 12b + 12a - 8b -16
= 6a2 - 4ab + 9ab - 8a + 12a - 6b2 - 12b - 8b -16
= 6a2 +5ab + 4a - 6b2 - 20b -16
The product of (
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| Right Option : B | |||
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