The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary.
First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total.
Therefore, there is one real root and two imaginary roots.
Answer is B
Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots.
Answer is C) 3 real and 2 imaginary zeroes.
Answer:
The Industrial Revolution shifted from an agrarian economy to a manufacturing economy where products were no longer made solely by hand but by machines. This led to increased production and efficiency, lower prices, more goods, improved wages, and migration from rural areas to urban areas.
Answer:
(C) 10 units
Step-by-step explanation:
It is given that EFGH is a rhombus and EG = 16 and FH = 12.
We know that the diagonals of the rhombus are the perpendicular bisectors, therefore OF=6, OH=6, OE=8 and OG=8.
Now, using the Pythagoras theorem in ΔOFG, we have





Thus, the value of the side of the rhombus will be 10 units.
Hence, option C is correct.
Answer:
10
Step-by-step explanation:
its 5+5
Answer is 6. If linds buys 6 forks at $72.00. Balance is $60.00 so 60/10= 6