Question

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 4, -3+i​

Answer 1

Explanation:

f

(

x

)

=

(

x

−

1

)

(

x

−

(

3

−

i

)

)

(

x

−

(

3

+

i

)

)

f

(

x

)

=

(

x

−

1

)

(

x

2

−

x

(

3

+

i

)

−

x

(

3

−

i

)

+

9

+

1

)

f

(

x

)

=

(

x

−

1

)

(

x

2

−

6

x

+

10

)

f

(

x

)

=

x

3

−

x

2

−

6

x

2

+

16

x

−

10