Question 9/Multiple Choice Worth 1 points) (07.03 MC) Factor completely 2x^2+9x+4 (2x+2)(x+2) (2x+1)(x+4) (2x+4)(x+1) (2x+2)(x+4)

To factor the quadratic expression completely, we need to find two binomials whose product gives us the original quadratic expression.First, let's rewrite the quadratic expression in standard form: We need to find two numbers that multiply to (the product of the coefficient of and the constant term) and add up to (the coefficient of ).The numbers that satisfy these conditions are and , because: Next, we split the middle term using these two numbers: Now, we group the terms in pairs: Factor out the greatest common factor (GCF) from each pair: Notice that \((x + 4)\) is a common factor: So, the completely factored form of is: Therefore, the correct answer is: