1.Oblicz współczynniki a i b wielomianu R(x),gdy R(x)=ax do potegi4+bx do potegi 2+5, R(pierwiastek z 2)=5 , R(pierwiastek z 3)=8
2.R(x)=xpierwiastek z 3 +ax do kwadratu +bx=5
R(-1)=1
R(2)=13
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2.![[tex]\left \{ {{-\sqrt{3}+a-b-5=1} \atop {2\sqrt{3}+4a+2b-5=13}} \right. \\ \left \{ {{a-b-6-\sqrt{3}=0} \atop {4a+2b-18-2\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {2a+b-9+\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {2(b+6+\sqrt{3})+b-9+\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {2b+12+2\sqrt{3}+b-9+\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {3b+3+3\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {b+1+\sqrt{3}=0}} \right.](https://tex.z-dn.net/?f=%5Btex%5D%5Cleft+%5C%7B+%7B%7B-%5Csqrt%7B3%7D%2Ba-b-5%3D1%7D+%5Catop+%7B2%5Csqrt%7B3%7D%2B4a%2B2b-5%3D13%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Ba-b-6-%5Csqrt%7B3%7D%3D0%7D+%5Catop+%7B4a%2B2b-18-2%5Csqrt%7B3%7D%3D0%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Ba%3Db%2B6%2B%5Csqrt%7B3%7D%7D+%5Catop+%7B2a%2Bb-9%2B%5Csqrt%7B3%7D%3D0%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Ba%3Db%2B6%2B%5Csqrt%7B3%7D%7D+%5Catop+%7B2%28b%2B6%2B%5Csqrt%7B3%7D%29%2Bb-9%2B%5Csqrt%7B3%7D%3D0%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Ba%3Db%2B6%2B%5Csqrt%7B3%7D%7D+%5Catop+%7B2b%2B12%2B2%5Csqrt%7B3%7D%2Bb-9%2B%5Csqrt%7B3%7D%3D0%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Ba%3Db%2B6%2B%5Csqrt%7B3%7D%7D+%5Catop+%7B3b%2B3%2B3%5Csqrt%7B3%7D%3D0%7D%7D+%5Cright.+%5C%5C+%5Cleft+%5C%7B+%7B%7Ba%3Db%2B6%2B%5Csqrt%7B3%7D%7D+%5Catop+%7Bb%2B1%2B%5Csqrt%7B3%7D%3D0%7D%7D+%5Cright.+ "[tex]\left \{ {{-\sqrt{3}+a-b-5=1} \atop {2\sqrt{3}+4a+2b-5=13}} \right. \\ \left \{ {{a-b-6-\sqrt{3}=0} \atop {4a+2b-18-2\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {2a+b-9+\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {2(b+6+\sqrt{3})+b-9+\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {2b+12+2\sqrt{3}+b-9+\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {3b+3+3\sqrt{3}=0}} \right. \\ \left \{ {{a=b+6+\sqrt{3}} \atop {b+1+\sqrt{3}=0}} \right.")