Facturise the following Wise any method) 1. \( x^{2}+10 x+9 \)

To factor the quadratic expression \( x^{2}+10x+9 \), we look for two numbers that multiply to 9 (the constant term) and add up to 10 (the coefficient of \( x \)). The numbers 1 and 9 fit perfectly because \( 1 \times 9 = 9 \) and \( 1 + 9 = 10 \). Thus, we can rewrite the expression as: \( (x + 1)(x + 9) \). And there you have it, factored neatly! Need a shortcut for future problems? Remember the "Product and Sum" method! Just think of it as a treasure hunt - you're looking for two pals (numbers) that want to get together for a party (multiply to the constant) and also get along fabulously (add to the coefficient). It makes factoring a breeze!