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
