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 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.
The one root is 4
So the factored quadratic will look like this:
(2x-8)(2x+?) the - 8 and ? have to multiply to -24 soooo ? = 3
(2x-8)(2x+3) = 4x^2 -10x -24 and the two roots are 4 and - 12/8
Thanx , Chris for pointing out that I originally had the lead coefficient incorrect!