9.1 Polynomial fundamentals, roots, 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) = -4x + 5x³ - 2x²

• Degree 2
• Degree 3
• Degree 4
• Degree 5

The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = 2x³ + 4x - 5

• The leading coefficient is 2
• The leading coefficient is 3
• The leading coefficient is 4
• The leading coefficient is 5

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

Classify by number of terms:
3x³ – 6x

• Monomial
• Binomial
• Trinomial
• 4-Term Polynomial

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

How many terms are in this polynomial?

2x³ - 8x² + 3x - 7

• 7

• 1

• 4

• 2

What are like terms?
Terms that have....

• the same variables
• the same exponents
• the same coefficients
• the same variables and exponents

Tags

CCSS.6.EE.A.2B

Simplify by combining like terms:
4x² - 3x + 11 -2x

• 4x² - 5x + 11
• 11x + 11
• 16x² - 5x + 11
• 10x²

Tags

CCSS.7.EE.A.1