Substituting x=2 x = 2 x=2 into the polynomial expression 7+2x2−4x3 7 + 2x^2 - 4x^3 7+2x2−4x3: 7+2(2)2−4(2)3 7 + 2(2)^2 - 4(2)^3 7+2(2)2−4(2)3
Calculating 2(2)2 2(2)^2 2(2)2: 2(2)2=2⋅4=8 2(2)^2 = 2 \cdot 4 = 8 2(2)2=2⋅4=8
Calculating −4(2)3 -4(2)^3 −4(2)3: −4(2)3=−4⋅8=−32 -4(2)^3 = -4 \cdot 8 = -32 −4(2)3=−4⋅8=−32
Combining all the results: 7+8−32=15−32=−17 7 + 8 - 32 = 15 - 32 = -17 7+8−32=15−32=−17
−17\boxed{-17}−17
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