math 2: higher degree polynomials & solving polynomial inequalities

Question 1

all polynomials have graphs that are

Answer 1

continuous

Question 2

multiplicity: number of times a particular value appears as a

Answer 2

root of a polynomial

Question 3

fundamental therem of algebra: any polynomial of degree n has

Answer 3

n roots

Question 4

(a³ + b³)=

Answer 4

(a + b)(a² - ab + b²)

Question 5

(a³ - b³)=

Answer 5

(a - b)(a² + ab + b²)

Question 6

rational root theroem: if a rational number (p/q, q ≠ 0) is a root of a polynomial equation, then p is a divisor of the …. and q is a divisior of the …..

Answer 6

constant term; leading coefficient

Question 7

factor theorem: if a r is a zero of P(x), then

Answer 7

x- r is a factor

Question 8

(ch 5) to solve polynomial inequalities, transform the inequality so that one side is

Answer 8

zero and solve

Question 9

(ch 5) solutions of polynomial inequalities are the points where the sign of the polynomial

Answer 9

can change