Advanced MathEasy–MediumSum of x-intercepts from factored form
Advanced Math practice question
In the xy-plane, the graph of y = (x − 1)(x + 7) has two x-intercepts. What is the sum of their x-coordinates?
Answer: -6
The intercepts are at x = 1 and x = −7, which sum to −6.
Common wrong answers
- If you answered 6
- The second intercept is x = −7 (sign flips from the factor x + 7): 1 + (−7) = −6.
- If you answered 8
- 8 is the distance between the intercepts, not their sum.
- If you answered -7
- −7 is one intercept alone; add the other, x = 1.
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