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Bài 7: 1) Ta có: \[ F = x^5 - 15x^4 + 16x^3 - 29x^2 + 13x \] \[ = x(x^4 - 15x^3 + 16x^2 - 29x + 13) \] \[ = x[x(x^3 - 15x^2 + 16x - 29) + 13] \] \[ = x[x(x^2(x - 15) + 16x - 29) + 13] \] Thay \( x = 14 \): \[ F = 14[14(14^2(14 - 15) + 16 \cdot 14 - 29) + 13] \] \[ = 14[14(14^2(-1) + 224 - 29) + 13] \] \[ = 14[14(-196 + 195) + 13] \] \[ = 14[14(-1) + 13] \] \[ = 14[-14 + 13] \] \[ = 14(-1) \] \[ = -14 \] 2) Ta có: \[ G = x^5 - 100x^4 + 100x^3 - 100x^2 + 100x - 9 \] \[ = x(x^4 - 100x^3 + 100x^2 - 100x + 100) - 9 \] \[ = x[x(x^3 - 100x^2 + 100x - 100) + 100] - 9 \] \[ = x[x(x^2(x - 100) + 100x - 100) + 100] - 9 \] Thay \( x = 99 \): \[ G = 99[99(99^2(99 - 100) + 100 \cdot 99 - 100) + 100] - 9 \] \[ = 99[99(99^2(-1) + 9900 - 100) + 100] - 9 \] \[ = 99[99(-9801 + 9800) + 100] - 9 \] \[ = 99[99(-1) + 100] - 9 \] \[ = 99[-99 + 100] - 9 \] \[ = 99(1) - 9 \] \[ = 99 - 9 \] \[ = 90 \]