Simplifying and Classifying Polynomial Expressions

one-term polynomial

• monomial

• binomial

• trinomial

• polynomial

two-term polynomial

• monomial

• binomial

• trinomial

• polynomial

three-term polynomial

• monomial

• binomial

• trinomial

• polynomial

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x³ + x

• 1

• 2

• 3

• 4

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 14a - 7 
• 5a³ - 4a² - 20a - 7 
• 5a³ - 9a² - 20a - 7

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

(3x + 4y - 3z) - (2x - 6y + 7z)

• x + 10y - 10z
• -x +10y - 10z
• x -10y - 10z
• -x -10y - 10z

Tags

CCSS.HSA.APR.A.1

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5)

• 4x⁴ - 9x³ - 10x² - 24
• 4x⁴ - 9x³ - 10x² - 2x - 24
• 4x⁴ - 9x³ - 10x² + 2x - 24
• -4x⁴ - 9x³ - 10x² - 24

Tags

CCSS.HSA.APR.A.1

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Classify by degree of polynomial:
3x³ – 6x

• Constant
• Linear
• Quadratic
• Cubic

Classify by degree of polynomial:
2x – 9

• Constant
• Linear
• Quadratic
• Cubic