sat suite question viewer
What is an x-coordinate of an x-intercept of the graph of in the xy-plane?
Explanation
The correct answer is either , , or . The x-intercepts of a graph in the xy-plane are the points at which the graph intersects the x-axis, or when the value of is . Substituting for in the given equation yields . Dividing both sides of this equation by yields . Applying the zero product property to this equation yields three equations: , , and . Adding to both sides of the equation yields , subtracting from both sides of the equation yields , and subtracting from both sides of the equation yields . Therefore, the x-coordinates of the x-intercepts of the graph of the given equation are , , and . Note that 14, -5, and -4 are examples of ways to enter a correct answer.