Question

Find the cubic function given the zeroes: sqrt 2, opposite of the sqrt of 2, -2

Answer 1

`\mathsf{(x-√(2))\cdot(x+√(2))\cdot(x+2)=0}\\ \\ \mathsf{(x^2+√(2)\cdot x-√(2)\cdot x-√(2)^2)\cdot(x+2)=0}\\ \\ \mathsf{(x^2-2)\cdot(x+2)=0}\\ \\ \boxed{\mathsf{x^3+2x^2-2x-4=0}}`