Question

find the equation of the given roots 2 and -5​

Answer 1

This means the equation will look like

y= (x-2)(x+5)
Now you just foil
y= x^2 +3x -10

Answer 2

Answer:

Equation is x² + 3x - 10

Step-by-step explanation:

Sum of roots:

${ \sf{ = ( - 5 + 2)}} \\ { \sf{ = - 3}}$

Product of roots:

${ \sf{ = ( - 5 \times 2)}} \\ = { \sf{ - 10}}$

General equation:

${ \boxed{ \bf{a {x}^{2} - (sum \: of \: roots)x + (product) }}} \\ ={ \sf{ {x}^{2} + 3x - 10 }}$