Factoring the Polynomial
To factor the polynomial 27x²y + 43xy², we first look for common factors in the terms.
The given polynomial consists of two terms:
- 27x²y
- 43xy²
In both terms, we can observe that the variable xy is common. Thus, we will factor xy out:
1. Identify the common factor: xy
2. Rewrite each term divided by the common factor:
- First term: 27x²y ÷ xy = 27x
- Second term: 43xy² ÷ xy = 43y
3. Now, we can express the polynomial as:
27x²y + 43xy² = xy(27x + 43y)
Thus, the factored form of the polynomial is: