Advanced MathEasy–MediumConstant term of a conjugate product
Advanced Math practice question
When (x + 6)(x − 6) is expanded and written as x² + c, what is the value of c?
Answer: -36
The product of conjugates gives a difference of squares: x² − 36, so c = −36.
Common wrong answers
- If you answered 0
- The middle terms cancel, but the constant term 6 · (−6) = −36 remains.
- If you answered 36
- The constant is 6 · (−6) = −36 — negative.
- If you answered -12
- −12 adds the constants; they multiply: 6 · (−6) = −36.
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