Multiplication of Polynomial by monomial
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Multiplication of Polynomial by Monomial, use the following steps :
1) Use a distributive law to multiply polynomial by monomial.
2) Multiply each term of the parenthesis by monomial.
Some more examples :
1) -3ab ( a3b + a2b2 - ab)
Solution :
= (-3ab
. a
3b) + (-3ab
. a
2b
2) + ( -3ab
. -ab)
= -3a
1+3b
1+1 - 3a
1+2b
1+2 + 3a
1+1b
1+1
= -3a
4b
2 - 3a
3b
3 + 3a
2b
2
2) 3( 5 - 2d - d2)
Solution :
= (3 x 5) - (3 x 2d ) - (3 x d
2)
= 15 - 6d - 3d
2
3) -5a ( a3 - 2a2 + 7a + 8)
Solution :
= ( -5a x a
3) + ( -5a x 2a
2) + ( -5a x 7a) + (-5a x 8)
= -5a
4 - 10a
3 - 35a
2 - 40a
4) 0(x4 + x3 + x2 + x + 1)
Solution :
Any polynomial multiply by zero is zero.
So, 0
.(x
4 + x
3 + x
2 + x + 1) = 0
5) 1 ( x4 - 7 )
Solution :
Any polynomial multiply by 1 is the polynomial itself.
So, 1
.( x
4 - 7 ) = ( x
4 - 7 )
6) 2a/3(a
3+ 6a
2 + 12)
Solution :
= ( 2a/3 x a
3) + ( 2a/3 x 6a
2) + ( 2a/3 x 12)
= 2a
4/3 + 4a
2 + 8a
Multiplication of algebraic expressions
• Multiplication of Monomial by Binomial
• Multiplication of Binomial by Binomial
• Multiplication of Polynomial by Monomial
• Multiplication of Polynomial by Binomial
Algebraic Expressions page
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