Geometric mean is just the two numbers multiplied together under a square root sign
So you get 6
Correct Answer: First Option
Explanation:
There are two ways to find the actual roots:
a) Either solve the given quadratic equation to find the actual roots
b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.
Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.
Ho ho ho, lets get this party started
ok so I'm just really excited to use this stuff that I just learned
so
multiplicites
if a root or zero has an even multilicity, the graph bounces on that root
if the root or zero has an odd multiplicty, the graph goes through that root
so
roots are
-1
2
4
multiplicty is how many times it repeats
2 has even multiplity
we just do 2 is odd and 1 is even so
for roots, r1 and r2, the facotrs would be
(x-r1)(x-r2)
so
(x-(-1))^1(x-2)^2(x-4)
(x+1)(x-2)^2(x-4)
this is a 4th degre equaton
normally, it is goig from top right to top left
it is upside down
theefor it has negative leading coefient
y=-k(x+1)(x-4)(x-2)^2
Answer:
Option A and Option B are not equivalent to the given expression.
Step-by-step explanation:
We are given the following expression:

Applying properties of exponents and base:

A. Using the exponential property
, we can write:

which is not equal to the given expression.
B. Using the exponential property
, we can write:

which is not equal to the given expression.
C. First we convert the radical form into exponent form. Then by using the property
of exponent, we can write the following:

which is equal to the given expression.
D. First we convert the radical form into exponent form. Then by using the property
of exponent, we can write the following:

which is equal to the given expression.
Option D and Option C are equivalent to the given expression.