turkey-yks 2012 Q19

turkey-yks · Other · lys1-math Roots of polynomials Determine coefficients or parameters from root conditions

$$\begin{aligned} & P ( x ) = x ^ { 2 } - 2 x + m \\ & Q ( x ) = x ^ { 2 } + 3 x + n \end{aligned}$$
polynomials are given. These two polynomials have a common root and the roots of the polynomial $P(x)$ are equal, so what is the sum $m + n$?
A) $-5$
B) $-3$
C) 2
D) 4
E) 5

$$\begin{aligned}
& P ( x ) = x ^ { 2 } - 2 x + m \\
& Q ( x ) = x ^ { 2 } + 3 x + n
\end{aligned}$$

polynomials are given. These two polynomials have a common root and the roots of the polynomial $P(x)$ are equal, so what is the sum $m + n$?

A) $-5$\\
B) $-3$\\
C) 2\\
D) 4\\
E) 5

Paper Questions

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