SOLUTION OF ADDING POLYNOMIALS





In this page solution of adding polynomials we are going to see solution for the worksheet adding polynomials.

Question 1:

 ( 2x³ + 5x² - 2x + 7 ) + ( x³ + 4x² - x + 6 )

    = 2x³ + 5x² - 2x + 7 + x³ + 4x² - x + 6

    = 2x³ + x³ + 5x² + 4x² - 2x - x + 7 + 6

    = 3x³ + 9x² - 3x + 13 

Question 2:

 ( 3x³ - 2x² - x + 4 ) + ( 2x³ + 7x² - 3x - 3 )

    = 3x³ - 2x² - x + 4 + 2x³ + 7x² - 3x - 3

    = 3x³ + 2x³ - 2x² + 7x² - x - 3x + 4 - 3

    = 5x³ + 5x² - 4x + 1    

Question 3:

 2 ( x³ - x² + 6x - 2 ) + ( 5x⁶ + 7x⁵ - 3x - 3 )

    =  2x³ - 2x² + 12x - 4 + 5x⁶ + 7x⁵ - 3x - 3

    =  5x⁶ + 7x⁵ + 2x³ - 2x² + 12x - 3x - 4 - 3

    =  5x⁶ + 7x⁵ + 2x³ - 2x² + 9x - 7

Question 4:

 -1 ( x⁶ + x³ + 6x² - 2 ) + 2 ( 5x⁶ + 7x⁵ - 3x - 3 )

    =  - x⁶ - x³ - 6x² + 2 + 10 x⁶ + 14x⁵ - 6x - 6

    =  - x⁶ + 10 x⁶ + 14x⁵ - x³ - 6x² - 6x + 2 - 6

    =    9x⁶ + 14x⁵ - x³ - 6x² - 6x - 4

 Question 5:

 5 ( 5x⁶ + 2x³ - 6x² - 2 ) + 6 ( -3x⁶ + 2x⁵ + 2x + 1 )

    =  25x⁶ + 10x³ - 30x² - 10 -18x⁶ + 12x⁵ + 12x + 6

    = 25x⁶ -18x⁶ + 12x⁵ + 10x³ - 30x² + 12x -10 + 6

    = 7x⁶ + 12x⁵ + 10x³ - 30x² + 12x - 4

Question 6:

 -2 ( 2x⁴ - 2x³ - x² + 5 ) +  3 ( 2x⁴ - 2x² - 3 )

    = -4x⁴ + 4x³ + 2x² -10 +  6x⁴ - 6x² - 9

    = -4x⁴ + 6x⁴ + 4x³ + 2x² - 6x² -10 - 9

    = 2x⁴ + 4x³ - 4x² - 19

 Question 7:

 5 ( x⁴ - x³ + 5 ) +  2 ( x⁴ - 5x² - 7 )

    = 5x⁴ - 5 x³ + 25 + 2x⁴ - 10x² - 14

    = 5x⁴ + 2x⁴ - 5x³ - 10x² + 25 - 14

    = 7x⁴ - 15x³ + 11

 Question 8:

 3 ( 6x⁴ - 2x³ - 3 ) +  2 ( 2x⁴ - x² - 8 )

     = 18x⁴ - 6x³ - 9 + 4x⁴ -2x² - 16

     = 18x⁴ + 4x⁴ - 6x³ -2x² - 9 - 16

     = 22 x⁴ - 6x³ -2x² - 25

Question 9:

  ( 6x⁷ - 2x⁶ - 3x³ + 2x² ) +  2 ( 2x⁴ + 5x⁷ + 3x⁶ + x³ + x² )

     = 6x⁷ - 2x⁶ - 3x³ + 2x² + 4x⁴ + 10x⁷ + 6x⁶ + 2x³ + 2x²

     = 6x⁷ + 10x⁷- 2x⁶ + 6x⁶ + 4x⁴ - 3x³ + 2x³ + 2x² + 2x²

     = 16x⁷ + 4x⁶ + 4x⁴ - x³ + 4x²

 Question 10:

  ( x⁷ - 3x⁶ - 2x³ + x² ) +  5 ( 3x⁴ + 15x⁷ + 4x⁶ + 2x³ + 6x² )

    = x⁷ - 3x⁶ - 2x³ + x² + 15x⁴ + 75x⁷ + 20x⁶ + 10x³ + 30x²

    = x⁷ + 75x⁷- 3x⁶ + 20x⁶ - 2x³ + 10x³ + x² + 30x²

    = 76 x⁷ + 17 x⁶ + 8 x³ + 31 x²

These are the solution of adding polynomials.solution of adding polynomials
solution of adding polynomials solution of adding polynomials