turkey-yks 2011 Q16

turkey-yks · Other · lys1-math Factor & Remainder Theorem Sum of Coefficients and Coefficient Relationships

Real coefficient polynomials $P ( x ) , Q ( x )$ and $R ( x )$ are given. For the polynomial $\mathrm { P } ( \mathrm { x } )$ whose constant term is nonzero,
$$P ( x ) = Q ( x ) \cdot R ( x + 1 )$$
the equality is satisfied. If the constant term of P is twice the constant term of Q, what is the sum of the coefficients of R?
A) $\frac { 2 } { 3 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 3 } { 4 }$
D) 1
E) 2

Real coefficient polynomials $P ( x ) , Q ( x )$ and $R ( x )$ are given. For the polynomial $\mathrm { P } ( \mathrm { x } )$ whose constant term is nonzero,

$$P ( x ) = Q ( x ) \cdot R ( x + 1 )$$

the equality is satisfied.\\
If the constant term of P is twice the constant term of Q, what is the sum of the coefficients of R?\\
A) $\frac { 2 } { 3 }$\\
B) $\frac { 1 } { 4 }$\\
C) $\frac { 3 } { 4 }$\\
D) 1\\
E) 2

Paper Questions

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