Answer:
Factoring by grouping effectively breaks down the polynomial into easy-to-solve smaller polynomials. The goal is to isolate each term in a separate group and then add them together to finally get the original polynomial.
Explanation:
The first thing we'll do is look for two numbers that multiply together to give -9. These will be our "groupings". Once we find these, we'll start grouping other terms in an alternating fashion until we can't break any more of the terms apart.
We find 2 and 3 which when multiplied give -6, so these are our groupings for this problem:
2x3(-9)=-18 + 5x(-9)=-45 + 4