Question

Find a polynomial of degree 3 that has zeros 1, -2, and 3, and in which the coefficient of x^2 is 3.

Answer 1

(x-1)(x+2)(x-3) = 0

Answer 2

expand and multiply the result by the number that gives a coefficient of '3' on the x^2 term...

Answer 3

How do you get the coefficient of x^2 to be 3 though?

Answer 4

x^3 -2x^2 -5x +6 = 0
(-3/2)(x^3 -2x^2 -5x +6 = 0)

Answer 5

Where did you get the -3/2 from?

Answer 6

...

Answer 7

-2*-3/2 =3

Answer 8

I got up to that part and then i got stuck

Answer 9

Oh okay thank you so much!

Answer 10

sure:)