If the roots of the quadratic equation are -2 and -5, then the factors of the quadratic equation must be:
[tex](x+2)(x+5)=0[/tex]
The quadratic equation in standard form goes by this pattern:
[tex]ax^2+bx+c=0[/tex]
So, to be able to find the standard form of the quadratic equation, let's multiply the two factors:
[tex]\begin{gathered} (x)(x+5)+2(x+5)=0 \\ x^2+5x+2x+10=0 \\ x^2+7x+10=0 \end{gathered}[/tex]
Therefore, the quadratic equation in standard form of the given roots is x² + 7x + 10 = 0.
