Factor. \[ 5 x^{2}+23 x-10 \] SUBMIT ANSWER

To factor the quadratic expression \( 5 x^2 + 23 x - 10 \), we look for two numbers that multiply to \( 5 \times (-10) = -50 \) and add up to \( 23 \). After some trial and error, we find that \( 25 \) and \( -2 \) fit the bill. Therefore, we rewrite the expression: \[ 5 x^2 + 25 x - 2 x - 10 \] Now, we factor by grouping: \[ (5 x^2 + 25 x) + (-2 x - 10) \] This gives us: \[ 5x(x + 5) - 2(x + 5) \] Factoring out the common factor \( (x + 5) \): \[ (5x - 2)(x + 5) \] Thus, the completely factored form is: \[ \boxed{(5x - 2)(x + 5)} \]