Question

Write the quadratic equation whose roots are -2 and 5, and whose leading coefficient is 1.
(Use the letter x to represent the variable.)
| [= 0

Answer 1

Answer:

$x^2 - 3x -10 = 0$

Step-by-step explanation:

Given

Roots = -2 and 5

Required

Write the equation

We have that:

x = -2 and x = 5

Simplify further

x + 2 = 0 or x - 5 = 0

Multiply the results of the above

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

Open brackets

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

$x^2 - 3x -10 = 0$