Introduction to polynomials

The largest exponent found in the polynomial

• Term

• Degree

• Constant

• Leading Coefficient

Classify by the number of terms:
4r⁶ - 3r² - 8r⁴

• Monomial
• Binomial
• Trinomial
• Polynomial

When multiplying polynomials for a math assignment, Pat found the product to be -4x+8x²-2x³+5 . He then had to state the leading coefficient of this polynomial. Pat wrote down 8 . Do you agree with Pat's answer? Explain your reasoning.

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CCSS.HSA.APR.A.1

What is a polynomial?

• A series of terms joined together by addition or subtraction

• The leading term of an equation

• The number associated with a variable

• A number and a variable combined

Which is an example of a cubic binomial?

• x³ + 5

• x² + 3

• x² + 5x - 6

• 5x³

Tags

CCSS.HSA.APR.A.1

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

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

Classify by the number of terms:

 $6x³+3x²+2x−4$  

• Monomial

• Binomial

• Trinomial

• Polynomial

An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. Which expression is correctly written for these conditions?

• 6x⁵+x⁴+7

• 7x⁶-6x⁴+5

• 6x⁷-x⁵+5

• 7x⁵+2x²+6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of these is in Standard Form (Check ALL that apply)?

•  $4x^2+12x-13x^3$  

•  $5-3x$  

•  $2x^4-12x^2+5x-9$  

•  $5x^5+4x^{\text{4}}+12x^3-23x+15$  

Tags

CCSS.HSA.APR.A.1