Question

СРОЧНОО ПЖЛСТ , ЗАРАНЕЕ СПАСИБО​

Answer 1

$1)P(x)=x^{3}+6x^{2}+12x+19=x(x^{2}+6x+12)+19 \\\\(-2-\sqrt[3]{11})*[( -2-\sqrt[3]{11})^{2}+6*(-2-\sqrt[3]{11})+12]+19=(-2-\sqrt[3]{11})(4+4\sqrt[3]{11}+\sqrt[3]{11^{2}}+12)+19=(-2-\sqrt[3]{11})(\sqrt[3]{11^{2}}-2\sqrt[3]{11}+4)+19=-(\sqrt[3]{11}+2)(\sqrt[3]{11^{2}}-2\sqrt[3]{11}+2^{2})+19=-[(\sqrt[3]{11})^{3}+2^{3}]+19=-(11+8)+19=-19+19=0$

$2)P(x)=x^{3}+9x^{2}+27x+29=x(x^{2}+9x+27)+29\\\\(-3-\sqrt[3]{2})*[(-3-\sqrt[3]{2})^{2} +9*(-3-\sqrt[3]{2})+27]+29=(-3-\sqrt[3]{2})(9+6\sqrt[3]{2} +\sqrt[3]{2^{2}}-27-9\sqrt[3]{2} +27)+29=(-3-\sqrt[3]{2})(\sqrt[3]{2^{2}} -3\sqrt[3]{2}+3^{2})+29=-(\sqrt[3]{2}+3)(\sqrt[3]{2^{2}}-3\sqrt[3]{2}+3^{2})+29=-[(\sqrt[3]{2})^{3} +3^{3}]+29=-(2+27)+29=-29+29=0$