Question

Write the quadratic equation whose roots are 3 and -6, and whose leading coefficient is 3.

Answer 1

Answer:

Step-by-step explanation:

if the roots are 3 and -6, we can start with:

$(x-3)(x+6)=0$

But the leading coefficient must be 3, we just add a 3 to one of the x's:

$( 3 x-3)(x+6)=0$

But now we have to make sure the roots work again:

$( 3 x-9)(x+6)=0$

So our equation is:

[/tex]f(x)=3x^2+9x-54[/tex]