Factoring 2nd-degree polynomials make use of the factors of the numerical coefficient of the first and last term.
The numerical coefficient of our first term is 49. The possible factors of 49 are 1 and 49, 7 and 7, -1 and -49, and -7 and -7.
The numerical coefficient of our last term is 36. The possible factors of 36 are 1 and 36, 6 and 6, 12 and 3, 4 and 9, -1 and -36, -6 and -6, -3 and -12, and -4 and -9.
Since the choices only show 1,7 and 6,6, we will only be focusing on these factors. Our goal here would be for us to have a result of +84 when the two pairs of factors are multiplied and then multiplied to two.
The second row gives us the middle term +84. Therefore, the factors of the polynomial are (7x + 6y)(7x + 6y). The answer is Option A.
