Multiplicity
is how many times the root repeats
roots
r1 and r2 of a polynomial factor to
(x-r1)(x-r2)
so 3
multiplicty 2 means (x-3)^2 is in the factorization of that
polynomial
also,
for a polynomial with real coefients, if a+bi is a roots, a-bi is
also a root
5i is
a root, therefor -5i is a root as well
roots
are
(x-5i)(x+5i)(x-3)^2
if we
expand
x^4-6x^3+34x^2-150x+225
the
polynomial is
f(x)=x^4-6x^3+34x^2-150x+225
Hello there! The cost of a cookie is $0.72.
Start by multiplying the cost of lunch by 5 and subtract that from the total to get rid of the cost of lunch.
$1.85 x 5 = $9.25
$20 - $9.25 = $10.75
So, there were FIVE students and each bough THREE cookies. To find the cost for each cookie, first divide the total spent on cookies by 5 to get what each student spent on cookies, then by 3 to see how much each cookie cost.
$10.75/5 = $2.15
$2.15/3 = 0.716666667, which can be rounded to $0.72.
I hope this helps and have a great rest of your day!
Step-by-step explanation:
here are the answers, clockwise from upper left