Subtracting Polynomials

Subtracting Polynomials Notes

How to Subtract Polynomials:

1. Drop the first set of parentheses

2. Distribute the negative to the second set of polynomials

   1. **Change all the signs of the second set to the opposite sign (positive to negative, negative to positive)

3. Combine (add) the like terms

1. Eliminar el primer conjunto de paréntesis

2. Distribuye el negativo al segundo conjunto de polinomios

   1. **Cambia todos los signos del segundo conjunto al signo opuesto (positivo a negativo, negativo a positivo).

3. Combinar (agregar) los términos similares

Example: (5x³ - 2x² + 4x) - (8x³ + 3x² - 8x)

1. Take away the first set of ()

   5x³ - 2x² + 4x - (8x³ + 3x² - 8x)

2. Distribute the (-)... change all the signs to the opposite

   5x³ - 2x² + 4x -8x³ - 3x² + 8x

3. Combine (add) your like terms

5x³ -2x² + 4x

+ -8x³-3x² + 8x
-3x³ -5x² + 12x

Multiple Choice

Subtract: (3x² + 4r) - (x² - 5r)

• 2x² - r

• 2x² - 5r

• 2x² - 9x

• 2x² + 9x

Multiple Choice

Subtract: (13a² - 6a - 2) - (-10a² - 11a + 9)

• 23a² - 17a - 7

• 23a² + 5a - 11

• 3a² - 17a + 7

• 3a² + 5a + 7

Multiple Choice

Subtract: (6x³ - 5x² + 2x) - (4x³ - 5x² + 2x)

• 10x³

• 10x³ - 10x² + 4x

• 2x³ - 10x²

• 2x³