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Write the quadratic equation whose roots are 3 and -6, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)

Respuesta :

Answer:

Step-by-step explanation:

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

[tex](x-3)(x+6)=0[/tex]

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

[tex]( 3 x-3)(x+6)=0[/tex]

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

[tex]( 3 x-9)(x+6)=0[/tex]

So our equation is:

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

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