For the polynomial f (z) = 3z^2 - (4+7i) z + 3 + 2i in C[x]

Evaluate f (-1+2i)

Question

Mathematics

Kathy Mccarty

23 June, 20:08

For the polynomial f (z) = 3z^2 - (4+7i) z + 3 + 2i in C[x]

Evaluate f (-1+2i)

+2

Answers (1)

Know the Answer?

Eden Bullock · Answer 1

12 - 11i.

Step-by-step explanation:

f (z) = 3z^2 - (4+7i) z + 3 + 2i

f (-1 + 2i) = 3 (-1 + 2i) ^2 - (4 + 7i) (-1 + 2i) + 3 + 2i

= 3 (1 - 2i - 2i + 4i^2) - (-4 + 8i - 7i + 14i^2) + 3 + 2i

= 3 (-3 - 4i) - (-18 + i) + 3 + 2i

= - 9 - 12i + 18 - i + 3 + 2i

= 12 - 11i.

For the polynomial f (z) = 3z^2 - (4+7i) z + 3 + 2i in C[x]Evaluate f (-1+2i)

For the polynomial f (z) = 3z^2 - (4+7i) z + 3 + 2i in C[x]

Evaluate f (-1+2i)