**Adding polynomials worksheet :**

Here we are going to see some practice questions on adding polynomials.

- Write the given set of polynomials by removing their bracket.
- Write the x terms in ascending order
- Combine the like terms
- If we don't have pair for any like term we have write them as single.

**Question 1:**

Add the following polynomials

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

**Solution :**

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

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

= 3x³ + 9x² - 3x + 13

**Question 2 :**

Add the following polynomials

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

**Solution :**

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

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

= 5x³ + 5x² - 4x + 1

**Question 3 :**

Add the following polynomials

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

**Solution :**

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

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

= 5x⁶ + 7x⁵ + 2x³ - 2x² + 9x - 7

**Question 4 :**

Add the following polynomials

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

**Solution :**

= - 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 :**

**Add the following polynomials**

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

**Solution :**

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

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

= 7x⁶ + 12x⁵ + 10x³ - 30x² + 12x - 4

**Question 6 :**

**Add the following polynomials**

-2 (2x⁴-2x³-x²+5) and 3(2x⁴-2x²-3)

**Solution :**

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

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

= 2x⁴ + 4x³ - 4x² - 19

**Question 7 :**

Add the following polynomials

5(x⁴- x³+5) and 2(x⁴-5x²-7)

**Solution :**

= 5x⁴ - 5 x³ + 25 + 2x⁴ - 10x² - 14

= 5x⁴ + 2x⁴ - 5x³ - 10x² + 25 - 14

= 7x⁴ - 15x³ + 11

**Question 8 :**

Add the following polynomials

3(6x⁴-2x³-3) and 2(2x⁴-x²- 8)

**Solution :**

= 18x⁴ - 6x³ - 9 + 4x⁴ -2x² - 16

= 18x⁴ + 4x⁴ - 6x³ -2x² - 9 - 16

= 22 x⁴ - 6x³ -2x² - 25

**Question 9 :**

Add the following polynomials

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

**Solution :**

= 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:**

Add the following polynomials

(x⁷-3x⁶-2x³+x²) and 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

- Polynomials
- Adding Polynomials
- Subtracting Polynomials
- Multiplication of Polynomials
- Division of Polynomials
- Adding Polynomials Worksheet
- Solution
- Subtracting Polynomials Worksheet
- Solution
- Factoring a Quadratic Equation
- Factoring Worksheets
- Framing Quadratic Equation From Roots
- Framing Quadratic Equation Worksheet
- Remainder Theorem
- Relationship Between Coefficients and roots
- Roots of Cubic equation
- Roots of Polynomial of Degree4
- Roots of Polynomial of Degree5

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