Question

Write the quadratic equation whose roots are 1 and 5, and whose leading coefficient is 2.

Answer 1

Answer:

$\Large \boxed{\sf \bf 2x^2-12x+10}$

Step-by-step explanation:

Hello,

As 1 and 5 are roots we can write, with a real number, the quadratic equation as

a(x-1)(x-5)

and as the leading coefficient is 2 then a = 2

It comes

$2(x-1)(x-5)=2(x^2-6x+5)=2x^2-12x+10$

Thanks