Question

Write a quadratic equation having the given numbers as solutions.
-5 and -2

Answer 1

x=-5 or x=-2

x-(-5)=0 or x-(-2)=0

x+5=0 or x+2=0

(x+5)(x+2)=0

x^2+2x+5x+10=0

x^2+7x+10=0

Answer 2

(x+5)(x+2) = 0 has -5 and -2 as solutions right?
Now just FOIL that out.

Answer 3

\[(x+5)(x+2)\]
\[x ^{2}+7x+10\]