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.

Guest Dec 23, 2020

#1**0 **

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

4x^{2} + 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 ?

hectictar Dec 23, 2020