Answer:
B)
D)
Step-by-step explanation:
Given expression:
To find the equivalent expression.
We will evaluate each expression in the given choices to check the equivalence.
A)
Using distribution.
⇒
⇒
B)
Using distribution.
⇒
⇒
C)
Using distribution.
⇒
⇒
D)
Using distribution.
⇒
⇒
E)
Using distribution.
⇒
⇒
From the choices evaluated, we find that the expressions in choices B and D are equivalent
Answer:
The factor form of given expression is (x-4)(x-2i)(x+2i).
Step-by-step explanation:
The given expression is
It can be written as
According to the rational root theorem, all possible rational roots are in the form of
Where, a₀ is constant term and is leading coefficient.
Since the value of f(x) is 0 at x=4, therefore 4 is a root of the function and (x-4) is a factor of given expression.
Use synthetic method to find the remaining factors.
Therefore the factor form of given expression is (x-4)(x-2i)(x+2i).
