Polynomials

Question 1

define term

Answer 1

a number or a product of a number and variables raised to a power

Question 2

define coefficient

Answer 2

the numerical factor of each term

Question 3

define polynomial (with one variable)

Answer 3

a finite sum of powers of x with real coefficients and non negative indecies

Question 4

define degree of a term (with one variable)

Answer 4

the exponent (power) on the variable

Question 5

define degree of polynomial

Answer 5

the greatest degree of the terms of the polynomial variables

Question 6

define dividend

Answer 6

the thing we’re dividing

Question 7

define divisor

Answer 7

the thing we’re deciding by

Question 8

define quotient

Answer 8

a result obtained by dividing one quantity by another

Question 9

define remainder

Answer 9

the value left over after divisor has met the quotient

Question 10

what are the two ways to do polynomial division

Answer 10

1. long division
2. inspection

Question 11

what is the factor theorem

Answer 11

if f(p) = 0, then (x - p) is a factor of f(x)
conversely, if (x - p) is a factor of f(x), then f(p) = 0