turkey-yks 2020 Q16

turkey-yks · Other · yks-ayt Factor & Remainder Theorem Polynomial Construction from Root/Value Conditions

For third-degree real-coefficient polynomials $P(x)$ and $R(x)$ whose highest degree terms have coefficient 1, the numbers 2 and 6 are common roots. When the polynomial $P(x) - R(x)$ is divided by $x - 1$, the remainder is 10.
Accordingly, what is the value of $P(0) - R(0)$?
A) 24
B) 27
C) 30
D) 33
E) 36

For third-degree real-coefficient polynomials $P(x)$ and $R(x)$ whose highest degree terms have coefficient 1, the numbers 2 and 6 are common roots. When the polynomial $P(x) - R(x)$ is divided by $x - 1$, the remainder is 10.

Accordingly, what is the value of $P(0) - R(0)$?\\
A) 24\\
B) 27\\
C) 30\\
D) 33\\
E) 36

Paper Questions

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