The teacher has written a quadratic on the board

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

The teacher has written a quadratic on the board, but Heather can't read the linear term. She can see that the quadratic term is 4x24x^2 and that the constant is −24-24. She asks her neighbor, Noel, what the linear term is. He decides to tease her and just says, "One of the roots is 4." Heather then says, "Oh, thanks!" She then correctly writes down the linear term. How did she do it and what is the linear term?

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