Addition of Polynomial having one variable :
Question : Add the polynomials given bellow
2x³-5+3x²-7x , 20x-5x²+3-x³ & 3x+4x³-7+x²
Answer :
There are two types of solving process.
1) Horizontal method
2) Vertical method
1) Horizontal method :
(2x³-5+3x²-7x) + (20x-5x²+3-x³) + (3x+4x³-7+x²)
= (2x³+3x²-7x-5) + (-x³-5x²+20x+3) + (4x³+x²+3x-7)
= 2x³+3x²-7x-5-x³-5x²+20x+3+4x³+x²+3x-7
= 2x³-x³+4x³ + 3x²-5x²+x² - 7x+20x+3x - 5+3-7
= 6x³ - x³ + 4x² - 5x² + 23x - 7x + 3 - 12
= 5x³ - x² + 16x - 9
(Ans.)
Explanation :
● First we can write the question by using " + " sine and brackets.
●Then in each bracket arrange the polynomials by there standard form.
● After arrengement we open the bracket.
● Write all the like term together.
● Add or subtract the like term as according to there " + " or " - " sine.
2) Vertical method :
2x³ + 3x² - 7x - 5
-x³ - 5x² + 20x + 3
( + ) 4x³ + x² + 3x - 7
--------------------------------------------
5x³ - x² + 16x - 9
(Ans.)
Explanation :
● First write the 1st polynomial as there standard form.
● Then write other polynomials are. But carefully the like term are arranged like a vertical line.
● After the arrengement add or subtract the monomial.
Written by : Jayanta Kumar Meher (BSc, BEd)
1 Comments
Wow... great explanation sir
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