What is the factored form of the polynomial 27x²y - 43xy²?

Solution:

Given polynomial 27x²y - 43xy²

There are many ways to factor a polynomial. Let us take common variables out and factor the given polynomial.

Taking xy as common, we get as follows

xy(27x - 43y)

We need to rewrite this term in factored form i.e. (x - a)(x - b)(x - c)

(x - 0)(y - 0)(27x - 43y)

Therefore, the factored form of the given equation is (x)(y)(27x - 43y)

What is the factored form of the polynomial 27x²y - 43xy²?

Summary:

The factored form of the polynomial 27x²y - 43xy² is (x)(y)(27x - 43y).