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:
-0.167
Step-by-step explanation:
you can literally put this into your calculator :-)
Answer:
dilation of 2 is may be the answer
Answer:
Option B
Step-by-step explanation:
trust me
Answer:
y = 2x-4
Step-by-step explanation:
To put the equation in slope intercept form (y=mx+b), we solve the equation for y
8x = 4y +16
Subtract 16 from each side
8x - 16 = 4y+16-16
8x-16 = 4y
Divide each side by 4
8x/4 -16/4 = 4y/4
2x -4 = y
y = 2x-4
