Question

Summary

Suppose a quadratic expression in standard form has a value of c = 0. Can this quadratic expression be
factored? How do you know?

Answer 1

• yes
• x is a factor

Explanation:

You want to know if the standard form quadratic equation ax² +bx +c = 0 can be factored when c=0.

C = 0

When the constant is zero, the equation becomes ...

ax² +bx = 0

Factoring out x, we have a factored form as ...

x(ax +b) = 0

showing that the equation can always be factored.