If , then is equal…

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

If pλ4+qλ3+rλ2+sλ+t=∣λ2+3λλ−1λ+3λ2+12−λλ−3λ2−3λ+43λ∣p\lambda^4 + q\lambda^3 + r\lambda^2 + s\lambda + t = \begin{vmatrix} \lambda^2 + 3\lambda & \lambda - 1 & \lambda + 3 \\ \lambda^2 + 1 & 2 - \lambda & \lambda - 3 \\ \lambda^2 - 3 & \lambda + 4 & 3\lambda \end{vmatrix} , then tt is equal to (1) 7 (2) 14 (3) 21 (4) 28

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