Question

Find the x-intercepts of the equation (y = -2(x + 7)(x - 11)).

a) x = -7, x = 11
b) x = -11, x = 7
c) x = 18, x = -14
d) x = -18, x = 14

Answer 1

The x-intercepts of the equation y = -2(x + 7)(x - 11) are obtained by setting y to 0, resulting in x = -7 and x = 11, matching option (a).

Step-by-step explanation:

The question is asking to find the x-intercepts of the given equation, which is y = -2(x + 7)(x - 11). To find the x-intercepts, we set y to 0 and solve for x:

• 
  
• 0 = -2(x + 7)(x - 11)
• 
  
• 0 = (x + 7)(x - 11)

Since the product equals zero, one or both factors must be zero. This gives us two equations to solve:

• 
  
• x + 7 = 0, which simplifies to x = -7
• 
  
• x - 11 = 0, which simplifies to x = 11

Therefore, the x-intercepts are x = -7 and x = 11, which corresponds to option (a).