Add.Sub Polynomials

Add or Sub Polynomials

EQ: How do you add or subtract polynomial expressions?

Adding Polynomials

• Distribute if necessary.

   $a\left(b\pm c\right)=ab\pm ac$  

• Add the like terms together.  Don't forget that subtraction is adding the opposite.

• Put the expression in standard form (Terms are arranged in descending degree order).

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

Multiple Choice

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x
• 2x³+6x²+9x
• -2x³-6x²+9x
• 2x³-6x²+9x

Subtracting Polynomials

• Add the opposite or distribute the minus sign to every term in the second polynomial.

• Combine your like terms or line them up vertically and add.

Multiple Choice

Simplify
(4x³ -3x² + 6x - 4) - (-2x³ + x² -20)

• 4x² - 6x³ - 2x + 6
• 3x + 5x² + 1
• 6X³ -4X² + 6X -2
• 3x + 2

Multiple Choice

Find the difference. 
(3- 2x + 2x²) - (4x -5 +3x²)

• x_² + 6x + 8
• 2x² + 5x - 7
• -x² -6x + 8
• -2x² + 11x - 4

Multiple Choice

What type of polynomial is this and what is its degree?

5b³ - 3 + 6b

• Quartic trinomial

• Cubic monomial

• Cubic trinomial

• Quartic polynomial