adding and subtracting polynomials

adding and subtracting polynomials

​objectives

• ​Combine the same terms .

• ​

  Add  polynomials.

• ​

• Subtact polynomials ​

• ​

Vocabulary

• ​Ø Polynomial .

  Ø Terms

  Ø Add

• ​Ø Subtract

​Warm Up

​

Simplify each expression by combining like terms.

​

1. 4x + 2x

​

2. 3y + 7y

​

3. 8p – 5p

Multiple Choice

simplify :

8m – 5m = ?

• 3m

• 13m

• 8m

• 5m

​Emsat

​example : page 272

• ​Add :

• ​( 4x² - x³ + 2 + 5x⁴ ) + (-x + 6x² + 3x⁴ )a

​example : page 272

​Add :

(10x - 18x³ + 6x⁴ - 2) + ( -7x⁴ + 5 + x + 2x³ )​

Multiple Choice

page 272 :

Add the polynomials.

3. ( 17x⁴ + 8x²  - 9x⁷  + 4 - 2x³ ) + ( 11x³  - 8x²  + 12)

• - 9x⁷ + 17x⁴ + 9x³ + 16

• - 9x⁷ + 17x⁴ + 13x³ + 18x² + 16

• - 9x⁷ + 17x⁴ + 9x³

• -9x⁷

Multiple Choice

page 272 :

Add the polynomials.

4. (-8x + 3x¹¹ + x⁶ ) + ( 4x⁴ - x + 17)

• 3x¹¹ + x⁶ + 4x⁴ +9x + 17

• 3x¹¹ + 4x⁴ - 9x + 17

• 3x¹¹ + x⁶ + 4x⁴ - 9x + 17

• 3x¹¹ + x⁶ + 4x⁴ - 9x

​Simplify :

​-( 3xy²z+5xy-6zyx³ )

​

​

​

​​-(- 3xy²-6zyx³m )

Multiple Choice

simplify :

-(4x-6y²z)

• 4x-6y²z

• -4x-6y²z

• 4x+6y²z

• -4x+6y²z

​example : page 273

​Subtract the polynomials

( 12x³ + 5x - 8x² + 19) - ( 6x² - 9x + 3 - 18x³)

​example : page 273

​Subtract the polynomials

( -4x² + 8x³ + 19 - 5x⁵ ) - (9 + 2x² + 10x⁵ )

Multiple Choice

page 273 :

Add the polynomials.

6. (23x⁷ - 9 x⁴+ 1) - (- 9x⁴ + 6x² - 31)

• 23x⁷ -6x²+32

• 23x⁷ +19x⁴-6x²+32

• 23x⁷

• 23x⁷ -6x²

Multiple Choice

page 273 :

Add the polynomials.

( 7x³+ 13x - 8x⁵ + 20x² ) - (- 2x⁵ + 9x² )

• - 10x⁵+ 7x³ + 11x² + 13x

• - 6x⁵+ 7x³ + 11x² + 13x

• - 6x⁵+ 7x³ 

Multiple Choice

14. A rectangle has a length of x and a width of 5 x³ + 4 - x² . Find the perimeter of the

rectangle when the length is 5 feet.

• 10x³ - 2x² + 2x + 8

  The perimeter is 1218 feet.

• 10x³ - 2x² + 8

  The perimeter is 1208 feet.

• 10x³ + 2x + 8

  The perimeter is 1268 feet.

• 10x³

  The perimeter is 1250feet.

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