#036.2 - Add, Subtract, Classify Polynomials

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

Tags

CCSS.HSA.APR.A.1

Classify this polynomial by its degree and number of terms:  x³ + 2x + 6

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

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

• Cubic monomial

• Linear binomial

• Cubic binomial

• 6th degree (sextic) monomial

8

• Constant polynomial

• Linear monomial

• Constant monomial

• Linear monomial with 0 terms

Tags

CCSS.HSA.APR.A.1

9x⁴

• Quadratic polynomial

• Quartic monomial

• Quadratic monomial

• Cubic monomial

Add.

4x² + 5x²

• 20x²

• 9x²

• 9x

• 20x

Answer explanation

Combine like terms:

Add the coefficients (number infront of variable)

leave the variables alone

Simplify.

-4x³ + 2x²

• -2x³

• -4x³ + 2x²

• -2x³

• 4x^{3 -} 2x²

Answer explanation

YOU CAN'T! They aren't like terms. :-)

Simplify:

• 9n³ + 4n
• 7n³ + 6
• -3n³ + 2
• 7n⁶ + 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Choose the correct expression when you distribute a -1 to the trinomial below.

 $-1\left(x^2-5x+6\right)$  

•  $-x^2+5x+6$  

•  $-x^2-5x-6$  

•  $-x^2+5x-6$  

•  $x^2-5x+6$  

Answer explanation

Distributive Property says to multiply each term on the inside by the term on the outside of the parentheses.