Beat the cream cheese together with mayonnaise in a medium bowl until a smooth and creamy mixture forms. Blend in the garlic powder, onion powder, and salt until fully incorporated. Fold in the chopped jalapeños and roasted red peppers, followed by the shredded cheddar cheese, stirring thoroughly to ensure even distribution. Refrigerate the prepared dip for 30 minutes to allow the flavors to meld. Serve chilled with pretzels, vegetable sticks, or crackers of your choice.