# 2.5 Dividing Polynomials Flashcards

1
Q

divide as you would in previous years by first ____; then ___; followed by ____ then ____ the process

A

dividing; multiplying; subtraction; repeat

2
Q

always ___ _____ when subtracting; why?

A

use parenthesis; bc theyre is multiple terms

3
Q

always express your _____ as a ______ over the divisor

A

remainder; fraction

4
Q

in division using synthetic substitution you must always ________

A

change the sign of the constant in the divisor

5
Q

in division by synthetic substitution use the _____ on the bottom as the ____ of your ____

A

digits; coefficients of quotient

6
Q

in division by synthetic substitution use the last ___ as your _____

A

digit; remainder

7
Q

in division by synthetic substitution express your ____ as a fraction ______….

A

8
Q

synthetic substitution will only work for….which is why…..

A

linear divisors which is why we need to know long division

9
Q

use in synthetic division when the divisor….

A

is a linear binomial

10
Q

in synthetic division when factoring completely, for the divisor, _____ and ____

A

must change the sign of the coefficient; and is a factor

11
Q

steps of synthetic division when factoring completely

A

1) use sd to divide
2) check that your remainder = 0
3) factor the remaining polynomial

12
Q

what should the answer look like when finding the zeros or roots

A

x=#

13
Q

in synthetic subst dividing for zeros or _____, the divisor is a _____

A

root(s)

14
Q

what step is added for synth div for zeros or roots from synth div for factoring completely

A

set each factor = 0 and solve for x in each factor

15
Q

when performing long division, as in synthetic substitution, you must use _ to __ __ ___ __ within ____ polynomial

A

0; hold any missing values; each