# 2.5 Dividing Polynomials Flashcards

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

dividing; multiplying; subtraction; repeat

always ___ _____ when subtracting; why?

use parenthesis; bc theyre is multiple terms

always express your _____ as a ______ over the divisor

remainder; fraction

in division using synthetic substitution you must always ________

change the sign of the constant in the divisor

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

digits; coefficients of quotient

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

digit; remainder

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

remainder; over the divisor in your final answer

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

linear divisors which is why we need to know long division

use in synthetic division when the divisor….

is a linear binomial

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

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

steps of synthetic division when factoring completely

1) use sd to divide

2) check that your remainder = 0

3) factor the remaining polynomial

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

x=#

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

root(s)

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

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

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

0; hold any missing values; each