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
The answer is C. 45. Here's the work to prove it: c = correct answer, i = incorrect answer;
-2(c + i = 50)
2c - 3i = 75
-2c - 2i = -100
-5i/-5 = -25/-5
i = 5
c + 5 - 5 = 50 - 5
c = 45
Answer:
y = -x + 1
Step-by-step explanation:
-3y - 3x = -3
Add 3x
-3y = 3x - 3
Divide by -3
y = -x + 1
Answer:
Getting a multiple of 5 is the least likely outcome.
Step-by-step explanation:
We spin a spinner that has 8 equal-sized sections numbered 1 - 8.
We have to find which is the least likely to occur.
The number is even when outcomes are 2,4,6 or 8.
Number of outcomes = 4
If the number is less than 3, the number of possible outcomes are 2 that is 1 and 2.
If the number is greater than 3 , number of possible outcomes is 5 which are 4,5,6,7 and 8.
If the number is a multiple of 5, only 1 outcome is there which is 5 itself.
Hence getting a multiple of 5 is the least likely outcome.
The equation is linear because it is in the form y = mx+b, which is slope intercept form
m = 2 is the slope
b = -5 is the y intercept
Graphing y = 2x-5 produces a straight line.