Question

Find degree of polynomial (x+1)(x2+x+1)

Answer 1

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

Hence, Polynomial $(x + 1)( {x}^{2} + x + 1)$ has three degree .