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MATH / The polynomial f(x) is divided by the polynomial d(x) to give a quotient of q(x) and a remainder of r(x). If deg f = 9 and deg r = 3, what is the maximum possible value of deg q?

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problem

The polynomial f(x)f(x) is divided by the polynomial d(x)d(x) to give a quotient of q(x)q(x) and a remainder of r(x)r(x). If $\deg f = 9$ and $\deg r = 3$, what is the maximum possible value of $\deg q$?
Plain-text mathematical notation (without MathML)
The polynomial f(x) is divided by the polynomial d(x) to give a quotient of q(x) and a remainder of r(x). If $\deg f = 9$ and $\deg r = 3$, what is the maximum possible value of $\deg q$?
Original LaTeX notation
The polynomial $f(x)$ is divided by the polynomial $d(x)$ to give a quotient of $q(x)$ and a remainder of $r(x)$. If $\deg f = 9$ and $\deg r = 3$, what is the maximum possible value of $\deg q$?

level

Level 4

type

Intermediate Algebra

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