Question

find the coefficient of x^2 in (3x + x^3) [x + 1/x]​

Answer 1

$(3x + {x}^{3} )(x + \frac{1}{x} ) \\ (3x \times x) + (3x \times \frac{1}{x} ) + ( {x}^{3} \times x) + (x {}^{3} \times \frac{1}{x} ) \\ 3 {x}^{2} + 3 + {x}^{4} + {x}^{2} \\ {x}^{4} + 4 {x}^{2} + 3$

• So coefficient of x² in this polynomial is 4.

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