Algebra II 5.1-.5.3 Grouping Polynomials

Multipicity

(POLYNOMIAL FUNC.) The number of times it’s related factor appears in the factored form of the polynomial.

*Note: Behavior of graph as it approaches x-axis

Odd mult

Function with CROSS the x-axis

Even mult

Function has a turning point and BOUNCES off of the x-axis

Prime Polynomial

Polynomial which cannot be factored

Only factors of this polynomial are 1 AND ITSELF

DOS

a² - b = (a + b)(a - b)

Note:* sign before factor

Square of sum

(a + b)² = (a² + 2ab + b²)

Note* Sign and DEGREE before factor

Square of difference

(a - b)² = (a² - 2ab + b²)

Note* Sign and DEGREE before factor

Sum of two cubes

a³ + b³ = (a + b)(a² - ab + b²)

Note* SIGN and DEGREE before factor

difference of two cubes

a³ - b³ = (a - b)(a² + ab + b²)

Note* SIGN and DEGREE before factor