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The teacher has written an equation of the form p(x)=0 on the board, where p(x) is a quadratic, but Heather can't read the linear term. She can see that the quadratic term is 4x^2 and that the constant is -24. She asks her neighbor, Noel, what the linear term is.

Noel 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. What was the linear term? Include entire term, not simply the coefficient.

 Apr 28, 2020
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If one of the roots is 4, the quadratic could have (x - 4) as a factor.

If it does, the other factor would have to be (4x + 6), giving an equation of (x - 4)(4x + 6)  =  0

Multiplying this out:  4x2 - 10x - 24  =  0.

 Apr 28, 2020

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