If the coefficient of (x2-3x + 4) (x2-ax + 1) is - 1, then the value of a is______ ． | Math enthusiast | Mathematical art

If the coefficient of (x2-3x + 4) (x2-ax + 1) is - 1, then the value of a is______ ．

The coefficients of (x2-3x + 4) (x2-ax + 1) = x4-ax3 + x2-3x3 + 3ax2-3a + 4x2-4ax + 4 = x4-ax3-3x3 + (1 + 3A + 4) x2-3a-4ax + 4 ∵ x2 are - 1, ∵ 1 + 3A + 4 = - 1, a = - 2

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