SOLUTION: Write the quadriatic equation below in standard form. Identify the value of a, b, and c. (3x+2)(x-6)=0 a= b= c=

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Write the quadriatic equation below in standard form. Identify the value of a, b, and c. (3x+2)(x-6)=0 a= b= c=      Log On


   

Question 950135: Write the quadriatic equation below in standard form. Identify the value of a, b, and c.
(3x+2)(x-6)=0
a=
b=
c=
Found 3 solutions by amarjeeth123, josgarithmetic, MathTherapy:
Answer by amarjeeth123(569) About Me  (Show Source):
You can put this solution on YOUR website!
(3x+2)(x-6)=0
3x^2-18x+2x-12=0
3x^2-16x-12=0
Comparing with ax^2+bx+c=0 we get
a=3
b=-16
c=-12

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"standard form"?

%283x%2B2%29%28x-6%29=0
3x%5E2%2B2x-18x-12=0
3x%5E2-16x-12=0
-
a=3
b=-16
c=-12

You could try to avoid Completing the Square process since your equation is given as factored.
Roots are -2/3 and 6.
Symmetry axis is in the middle.
%28-2%2F3%2B6%29%2F2
%285%261%2F3%29%2F2
%2816%2F3%29%2F2
16%2F6
highlight_green%28x=8%2F3%29 Axis of Symmetry, FOR THE FUNCTION, not just the given equation.

y for the vertex: %283%288%2F3%29%2B2%29%28%288%2F3%29-6%29
10%2A%288%2F3-18%2F3%29
10%28-10%2F3%29
highlight_green%28-100%2F3%29-----?


Finish by filling in the standard form information.
highlight%283%28x-8%2F3%29%5E2-100%2F3=0%29,
?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Write the quadriatic equation below in standard form. Identify the value of a, b, and c.
(3x+2)(x-6)=0
a=
b=
(3x + 2)(x - 6) = 0

Standard form: highlight_green%283x%5E2+-+16x+-+12+=+0%29

highlight_green%28a+=+3%29

highlight_green%28b+=+-+16%29

highlight_green%28c+=+-+12%29