Voorbeelden van ontbinden in factoren zijn:
`2 x^2 + 6 x y = 2 x * x + 2 x * 3 y = 2 x ( x + 3 y )`
`text(-) x^2 + 4 x = text(-) x * x - text(-) x * 4 = text(-) x ( x - 4 )`
`x^2 + 5 x + 6 = x^2 + 2 x + 3 x + 2 * 3 = ( x + 2 ) ( x + 3 )`
`x^2 - 4 x - 12 = ( x + 2 ) ( x - 6 )` (Zie figuur.)
`x^3 - 4 x = x ( x^2 - 4 ) = x ( x - 2 ) ( x + 2 )`
`x^4+7x^2+12=(x^2+3)(x^2+4)`
Ontbind in factoren.
`2 x^2 + 10 x`
`3x^2 -9x`
`x^2+5x+4`
`b^2-9b+8`
`2k^2-34k+32`
Ontbind in factoren.
`c^3+2c^2+c`
`p^3 - p^5`
`2x^4+8x^10`
`3y^4-6y^5+2y^2`
`x^4+x^2-12`