Rozklad kvadratického mnohočlenu
Rozlož kvadratické mnohočleny na součin lineárních činitelů s komplexními koeficienty.
\large 4x^2-12x+25
\left(\large x-\left(\frac32+2i\right)={}\left(\large x-\frac32-3i\right)\right.
\left(\large x-\left(\frac32-3i\right)={}\left(x-\frac32+2i\right)\right.
\large 4x^2-12x+25= \left( x-\Large \frac{3}{2}\large +3\text{i}\right) \cdot \left( x- \Large \frac{3}{2}\large -2\text{i}\right)
\left(\large x-\left(\frac32-2i\right)={}\left(\large x-\frac32+3i\right)\right.
\left(\large x-\left(\frac32+3i\right)={}\left(x-\frac32-2i\right)\right.
\large 4x^2-12x+25= \left( x-\Large \frac{3}{2}\large +2\text{i}\right) \cdot \left( x- \Large \frac{3}{2}\large -3\text{i}\right)
\left(\large x-\left(\frac32-3i\right)={}\left(\large x-\frac32+2i\right)\right.
\left(\large x-\left(\frac32+2i\right)={}\left(x-\frac32-3i\right)\right.
\large 4x^2-12x+25= \left( x-\Large \frac{3}{2}\large +3\text{i}\right) \cdot \left( x- \Large \frac{3}{2}\large -2\text{i}\right)
\left(\large x-\left(\frac32-2i\right)={}\left(\large x-\frac32+2i\right)\right.
\left(\large x-\left(\frac32+2i\right)={}\left(x-\frac32-2i\right)\right.
\large 4x^2-12x+25= \left( x-\Large \frac{3}{2}\large +2\text{i}\right) \cdot \left( x- \Large \frac{3}{2}\large -2\text{i}\right)