Factor this polynomial.
-3x^2– 5x-2

Step-by-step explanation:

So we have the polynomial:

(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)

This is a quadratic. To factor this, we need to find two numbers p and q such that:

From there, we can substitute these numbers in for b.

From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.

In other words, ac=6 and b=5.

After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:

were is the equation

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225