adding and subtracting polynomials

Adding and Subtracting polynomials

By Rahman Abdul-Muwwakil

​ADDING POLYNOMIALS

Like Terms are terms with the same variable(s) raised to the same power. To simplify expressions combine like terms by adding the coefficients

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Example: 12p² + 5p +10p²

​ 12p² and 10p² are the like terms

​ 22p² + 5p this is the simplified version from adding like terms.

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Subject | Subject

Some text here about the topic of discussion

Multiple Choice

add the following polynomial: $$7x\ +4\ +10x\ -\ x^2$$  

• $$16x^2+4$$  

• $$20x^2$$  

• $$-x^2+17x+4$$  

• $$-x^2\ +\ 21x$$  

Poll

What are the like terms of the expression? $$\left(x^2+3x-8\right)+\left(-2x^2+2x\right)$$  

• There are two sets:

  $$x^2\ ,\ \ -2x^2$$  

  $$-8,\ \ 2x$$  

• There is one set:

  $$x^2,\ -2x^2,\ 3x\ ,\ 2x$$  

• There are two sets:

  $$x^2,\ -2x^2$$  

  $$3x,\ 2x$$  

• There are no like terms.

Multiple Choice

Simplify the following expression: $$\left(x^2+3x-8\right)+\left(-2x^2+2x\right)$$  

• $$-x^2-3x$$  

• $$-3x^2+5x-8$$  

• $$-x^2+5x-8$$  

• $$4x^2-8$$  

Poll

What are the like terms of the expression: $$\left(x^2-x+2\right)-\left(2x^2-x-1\right)$$  

• $$x^2,\ 2x^2$$  

  and

  $$-x,\ -x$$

  and

  $$2,\ -1$$   

• $$x^2,\ 2x^2,\ -x,\ -x$$  and

  $$2,\ -1$$  

Multiple Choice

simplify: $$\left(x^2-x+2\right)-\left(2x^2-x-1\right)$$  

• $$3x^2-2x+1$$  

• $$-3x^2+2x-1$$  

• $$-x^2+x+3$$  

• $$-x^2+3$$  

Multiple Choice

Which of the following are examples of like terms?

• 2 and 2x
• y³ and x³
• y and x
• -3x and 3x

Multiple Choice

Add the polynomials.
(2x + 5y) + (3x - 2y)

• 3x + 5y
• 5x + 3y
• 5x + 7y
• 7xy + 1xy

Multiple Choice

Add or Subtract to Simplify:
(4x²+ x) - (x²+ 2x)

• 3x² - x
• 4x² + 2x
• 3x² + 3x
• 3x² + 2x

Multiple Choice

Add or Subtract to Simplify:
 (x + 2x²) + (4x² + 7x)

• 6x² + 8x
• 8x² + 6x
• 2x² + 6x
• 2x² + 8x

Multiple Choice

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 
• x + 2
• 2x² + x - 10 
• x - 10 

Multiple Choice

Subtract: (2a² + 5a + 3) -(a² - 3a - 4)

• 3a² + 2a - 1
• a² + 8a + 7
• 3a² + 8a + 7
• a² + 2a - 1