If a 4 x 4 + ⋯ + a 0 equals identically the determinant: x 2 + x 2 x + 3 x − 5 x − 2 x − 1 1 3 x + 1 find ( a 4 + a 3 + a 2 + a 1 + a 0 ) − 25 .

Question

If a 4 ​ x 4 + ⋯ + a 0 ​ equals identically the determinant: ​ x 2 + x 2 x + 3 x − 5 ​ x − 2 x − 1 ​ 1 3 x + 1 ​ ​ find ( a 4 ​ + a 3 ​ + a 2 ​ + a 1 ​ + a 0 ​ ) − 25 .

TestHub · Accepted Answer

Put x = 1 . The coefficient sum is the polynomial value 31, so the answer is 31 − 25 = 6 .

Mathematics - Determinant Question with Solution | TestHub

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