Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.

k = -1; f(x) = 4x^3 - 2x^2 + 2x + 4; Lower bound? Before you answer it, can you explain what it means?

Question

Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.

k = -1; f(x) = 4x^3 - 2x^2 + 2x + 4; Lower bound?  Before you answer it, can you explain what it means?

anonymous · Answer

I have no idea what it's talking about, what is lower bound?

anonymous · Answer

Wait, I think it would be lower, because when you divide it using synthetic division, the answers and alternatively negative and positive. Is that right?

anonymous · Answer

@RadEn

anonymous · Answer

@Isaiah.Feynman

loser66 · Answer

yes, it's lower bound. Explain: when you solve for x, you have 1 real root and 2 imaginary roots. The question asks about whether -1 is lower bound or upper bound to the REAL root. Whatever the root is, the value of f(root) =0, and value of f (-1) = -4; and -4 < 0, therefore, -1 is lower bound of the function. All you have to do is calculate the f (k) and consider whether it's >0 or <0, If it's >0, k is upper bound. If it's <0, k is lower bound