Answer:
The two factors of the given polynomial f(x) are (x - 3 -√5) and (x +6) .
Step-by-step explanation:
Here, the roots of the given polynomial f(x) are
Root 1 = 3 + √5
and Root 2 = (-6)
Now,as we know that if x = a is the root of the any given polynomial p(x), then the expression (x-a) is the FACTOR of the polynomial p(x).
Now, here root 1 : x = 3 + √5
So, x - (3 + √5 ) is the FACTOR of the f(x)
or, ( x - 3 -√5) is the first factor of f(x).
Also, here root 2 : x = (-6)
So, x - (-6 ) = x + 6 is the FACTOR of the f(x)
or, ( x +6 ) is the second factor of f(x).
Hence, the two factors of the given polynomial f(x)
are ( x - 3 -√5) and ( x +6 ) .
