Question

Which of the following has the correct factored form AND the correct solutions for thequadratic equation?x– 2x– 3=0O (x + 1)(x – 3) = 0 AND == 1 and 1 = -3O (1 - 1) (2+3) = 0 AND 1= -1 and I = 3O (x + 1) (s – 3) = 0 AND 1=-1 and 1=3O (3-1) (2+3) = 0 AND 1=1 and = -3

Answer 1

Step 1

Write the equation

$x^2\text{ - 2x - 3 = 0}$

Step 2

Factorize the function

$\begin{gathered} x^2\text{ - 2x - 3 = 0} \\ x^2\text{ +x - 3x - 3 = 0} \\ x(x+1)\text{ -3(x + 1) = 0} \\ (x\text{ + 1)(x - 3) = 0} \\ \text{x = -1 , x = 3} \end{gathered}$

Final answer

(x + 1)(x - 3) = 0 and x = -1, x = 3