Classifying Polynomials

Sort these polynomials by their DEGREE only.

Groups:

(a) Linear

,

(b) Quadratic

,

(c) Cubic

,

(d) Quartic

• 3x+2

• x³+x²+8x

• x³+8x-2

• 4x²

• x²-10

• -2x+5

• x⁴-8x²

• x+3

• x³+7x²

• x²+5x-3

• x⁴+9x³-2

• x⁴-2x³-7x+8

Sort these polynomials by their NUMBER OF TERMS only.

Groups:

(a) Monomial

,

(b) Binomial

,

(c) Trinomial

,

(d) Polynomial

• 8x⁵

• x²-3

• 8x

• 12xy

• x⁴+9x³-2x+11

• x⁴+7x-3

• x²+x-12

• x⁵-8x²+3x-4

• x-10

• x³+8x-2

• x³+12

• x⁴-2x³-7x+8

Classify this polynomial by its degree and number of terms:  x² + 6

• Linear polynomial
• Quadratic trinomial
• Quadratic binomial
• Cubic binomial

Classify this polynomial by its degree and number of terms:  x² + 2x + 6

• Linear polynomial
• Quadratic trinomial
• Quadratic binomial
• Cubic trinomial

Classify this polynomial by its degree and number of terms: 4x³

• Cubic monomial

• Linear binomial

• Cubic binomial

• 6th degree (sextic) monomial

x⁴+2

• Quadratic binomial

• Quadratic monomial

• Quartic binomial

• Quartic trinomial

9x⁴

• Quadratic polynomial

• Quartic monomial

• Quadratic monomial

• Cubic monomial

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