SOLUTION: Write the quadratic equation whose roots are 1 and −4 , and whose leading coefficient is 1 .

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Question 980619: Write the quadratic equation whose roots are
1
and
−4
, and whose leading coefficient is
1
.

Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
To find a quadratic equation when you are given the two roots:
1. x = 1 & x = -4

2. Put each of the roots in factor form:

(x - 1)(x + 4)

3. Expand the factors:

x%5E2%2B3x-4

This is your quadratic equation, since the leading coefficient is 1.