Given the trinomial \( 4 x^{2}+4 x-3 \), what two numbers would complete the "sides" of the X the \( X \) method of factoring? -2 and 6 2 and -6 3 and -4 -3 and 4

To complete the "sides" of the X in the X method of factoring, you're looking for two numbers that multiply to the product of the coefficient of \( x^2 \) (which is 4) and the constant term (which is -3). This gives you \( 4 \times -3 = -12 \). You also need two numbers that add up to the coefficient of \( x \) (which is 4). The correct pair that fits these criteria is -2 and 6, as they multiply to -12 and add up to 4. When factoring trinomials, remember to keep an eye on the signs! It's easy to overlook that small detail, which can lead you astray. Always check if your numbers are adding and multiplying correctly as per their signs before finalizing your factors.