There are many polynomials that fit the bill,
f(x)=a(x-r1)(x-r2)(x-r3)(x-r4) where a is any real number not equal to zero.
A simple one is when a=1.
where r1,r2,r3,r4 are the roots of the 4th degree polynomial.
Also note that for a polynomial with *real* coefficients, complex roots *always* come in conjugages, i.e. in the form a±bi [±=+/-]
So a polynomial would be:
f(x)=(x-(-4-5i))(x-(-4+5i))(x--2)(x--2)
or, simplifying
f(x)=(x+4+5i)(x+4-5i)(x+2)^2
=x^4+12x^3+77x^2+196x+164 [if you decide to expand]
Answer:
v
x
5
−
2
v
x
4
−
8
x
4
+
3
v
x
3
+
24
x
3
−
4
v
x
2
−
40
x
2
+
v
x
+
56
x
+
8
x
−
40
v
x
5
-
2
v
x
4
-
8
x
4
+
3
v
x
3
+
24
x
3
-
4
v
x
2
-
40
x
2
+
v
x
+
56
x
+
8
x
-
40
Step-by-step explanation:
Answer:
whats the question
Step-by-step explanation:
Graph it to a then to b then to c and you will have your answer sikew
