grandes-ecoles 2016 QI.A.1

grandes-ecoles · France · centrale-maths2__pc Factor & Remainder Theorem Polynomial Degree and Structural Properties
For a nonzero polynomial $P \in \mathbb{R}_n[X]$, express $\operatorname{deg}(\tau(P))$ and $\operatorname{cd}(\tau(P))$ in terms of $\operatorname{deg}(P)$ and $\operatorname{cd}(P)$. 
For a nonzero polynomial $P \in \mathbb{R}_n[X]$, express $\operatorname{deg}(\tau(P))$ and $\operatorname{cd}(\tau(P))$ in terms of $\operatorname{deg}(P)$ and $\operatorname{cd}(P)$.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.A.6 QI.A.7 QI.A.8 QI.A.9 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QI.B.5 QI.B.6 QI.B.7 QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QII.C QIII.A.1 QIII.A.2 QIII.A.3 QIII.A.4 QIII.A.5 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIII.C.3 QIII.C.4 QIII.C.5 QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2 QIV.C.3