So
p(x) = 4x^2 + kx - 24
we also know p(4) = 0
4(4^2) + 4k - 24 = 0
solve for k and you have the linear term kx
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? Write the entire term, not just the coefficient.
1 answer