The teacher has written an equation of the form  on the board, where  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.

 Dec 23, 2020

Let's say the unknown coefficient of the linear term is  b , so the quadratic expression is:


4x2  +  bx  -  24


And we want to know what  b  is.


Since we know that one of the roots is  4,  we know that if we plug in  4  for  x  into the expression, it will equal  0

So we can make the following equation:


4(4)2  +  b(4)  -  24  =  0


Can you solve the above equation for  b  ?

 Dec 23, 2020

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