SOLUTION: Write a quadratic equation with -1/3 and 4 as its roots. Write the equation in standard form.

Question 1029543: Write a quadratic equation with -1/3 and 4 as its roots. Write the equation in standard form.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
, rawest form;
-------factored form.

One way to get standard form is find the vertex point which is exactly in the middle of the two given & known roots.

-------coordinate for the vertex, x value.

--------y coordinate of the vertex.

Plug in to standard purely variablized form.
, in which ;

Answer by MathTherapy(10551) (Show Source): You can put this solution on YOUR website!

Write a quadratic equation with -1/3 and 4 as its roots. Write the equation in standard form.

Since is a root, then , or is a factor
Since x = 4 is a root, then x - 4 = 0 is a factor
We can then say that: (3x + 1)(x - 4) = 0
After FOILing the binomials, we get: ------ Quadratic equation, in standard form
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