Introduction to Polynomials Key Facts

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.

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

Polynomial

• an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication.

• An infinite series with increasing powers (exponents) of a variable.

Classify this polynomial by its degree and number of terms:  x² + 2x + 6

• Linear polynomial

• Quadratic trinomial

• Quadratic binomial

• Cubic trinomial

• Monomial

• Binomial

• Trinomial

• Polynomial

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11

• 9x³ + 8x² - 3x - 11

• 8x² + 9x³ -11 - 3x

• -11 - 3x + 8x² + 9x³

The coefficient of the first term of a polynomial written in standard form

• Term

• Degree

• Constant

• Leading Coefficient

What is the constant of this polynomial?

• 2

• -8

• 3

• -7