Multiplication of Polynomials


 
 
Concept Explanation
 

Multiplication of Polynomials

The multiplication of expressions follow distributive property over their addition i.e.,

a times (b + c) = a times b + a times c.

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

Sample Questions
(More Questions for each concept available in Login)
Question : 1

The product of (x^2+3x+5) and (x^2-1)  is:

 

Right Option : B
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