SOLUTION: pplease help me solve this problem find a polynomial of degree 3 that has zeros 1, -2, and 3, and which the coefficient of x^2 is 3.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: pplease help me solve this problem find a polynomial of degree 3 that has zeros 1, -2, and 3, and which the coefficient of x^2 is 3.      Log On


   

Question 276312: pplease help me solve this problem
find a polynomial of degree 3 that has zeros 1, -2, and 3, and which the coefficient of x^2 is 3.
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x-1)(x+2)(x-3)
=x^3-2x^2-5x+6=0
-2a=3 present coefficient of x^2 must be changed from -2 to 3
a=-3/2
-3/2(x^3-2x^2-5x+6)=0
-3x^3/2 +3x^2 +15x/2 -9=0
-1.5x^3+3x^2+7.5x-9
.
Ed