Simplifying and Classifying Polynomials

Classify the polynomial by degree and number of terms:

3x² – 8x + 1

• Cubic Trinomial

• Cubic Binomial

• Quadratic Trinomial

• Quadratic Binomial

Simplify:

• 9n³ + 4n

• 7n³ + 6

• -3n³ + 2

• 7n⁶ + 6

(4x³-5x²+3x)+(-2x³-x²+6x)

• 2x³-6x²-9x

• 2x³+6x²+9x

• -2x³-6x²+9x

• 2x³-6x²+9x

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

(x +2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

(5x+2y)(x²-3xy+6)

• 5x³ - 17x² y - 6xy² -30x +12y²

• 5x³ + 17x²y -6xy² - 30x +12y²

• 5x³ - 13x²y -6xy² - 30x +12y²

• 5x³ +13x²y - 6xy - 30x + 12y²

Fill in the blank with the correct term. (You must spell the answer correctly or you may get the answer wrong. Make sure to look back at your notes.)
_____________ - the parts of the polynomial that are separated by + or - signs

• -2

• -11

• 5

• -3

• 4

• squared polynomial

• cubic polynomial

• monomial

• cubic trinomial

Name the following polynomial by both degree and number of terms.

x^3

• Cubic Trinomial

• Cubic Monomial

• Quadratic Monomial

• Cubic Polynomial