Classifying and Operations of Polynomials

Classify the following polynomial by degree and number of terms:

• constant monomial

• linear monomial

• quartic monomial

• quadratic monomial

Find the sum or difference:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Find the sum or difference:
(3 - 2x + 2x²) + (4x - 5 + 3x²)

• 5x⁴ + 2x² - 2

• 5x² + 2x - 2

• 5x² + 7x - 7

• 5x² + 6x + 8

Find the sum or difference:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3 

• -7n² - 8n + 3 

• -6n² - 8n + 3

• -7n² - 4n + 3

Find the sum or difference:
(5x + x² - 4) - (4x - x² + 6)

• 2x² + x + 2 

• x + 2

• 2x² + x - 10 

• x - 10 

Add or Subtract to Simplify:
 (4x - 2x³) + (5x³ - 4x + 5)

• 3x³ + 5

• 3x³ + 8x + 5

• 3x² + 5

• 7x³ + 8x + 5

Simplify the expression.
-3x²( 7x² - x + 4)

• -21x⁴ + 3x³ -12x²

• 7x² - x + 4 (-3x²)

• 21x⁴ + 3x³ + 12x²

• -12x² + 3x³ -21x⁴

Simplify:

(x + 5)(x + 4)

• x² + x + 20

• x² + 20x + 9

• x² + 9x + 20

• x² - 9x + 54

Simplify:

(x - 5)(x + 1)

• x² - 4x - 5

• x² + 6x - 5

• x² - 5x - 4

• x² - 4x - 4

Simplify: (5x+2)(x²-3x+6)

• 5x³ - 17x² +24x +12

• 5x³ + 17x² - 24x +12

• 5x³ - 13x² + 24x +12

• 5x³ +13x² - 24x - 12