Naming Polynomials Add Polynomials End Behavior

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = 3x² + 4x - 5

• Degree 2  (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -5x⁴ - 3x + 2

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

The degree of a polynomial can be determined by the largest powered monomial of the polynomial.  
What is the degree of the polynomial:
f(x) = -4x³ + 5x - 2

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

• Left up    Right up

• Left up   Right down

• Left down   Right up

• Left down   Right down

• 3x³+5x²+3x+15

• 3x³+6x²+3x+16

• 3x³+6x²+3x+15

• 2x³+5x²+2x+16

• Increasing

• Decreasing

3x³ +8x

x³+3x² +8x

2x² +8x

x³-3x³ +8x²

• 3x³ +8x

• x³+3x² +8x

• 2x² +8x

• x³-3x³ +8x²

• Increasing

• Decreasing

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x² + 3x

• Left up    Right up

• Left up   Right down

• Left down  Right up

• Left down   Right down