Hilton Erickson
08/05/2024 · High School
The polynomial \( \mathrm{p}(x) \) is given by \[ \mathrm{p}(x)=x^{3}+(b+2) x^{2}+2(b+2) x+8 \] Where \( b \) is a constant. Use the factor theorem to prove that \( (x+2) \) is a factor of \( \mathrm{p}(x) \) for all values of W
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根据因式定理,计算 \( \mathrm{p}(-2) \) 得到 0,因此 \( (x + 2) \) 是 \( \mathrm{p}(x) \) 的因子。
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