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.
+9466 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 ?
