Question

Write the quadratic equation whose roots are
−2 and −3 and whose leading coefficient is 4
.
(Use the letter
x
to represent the variable.)

Answer 1

If "a" is a root, then (x-a) is a factor.
If -2 is a root, then (x- -2) = (x+2) is a factor.
If -3 is a root, then (x+3) is a factor.
4 is the leading coefficient.
The quadratic expression is: 4(x+2)(x+3) = 0.
Multiply it out and simplify.