一道数学英文题Find a polynomial of degree 4with real coefficients a
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一道数学英文题
Find a polynomial of degree 4with real coefficients and i as a root of multiplicity 1 and-3 with multiplicity 2.
Find a polynomial of degree 4with real coefficients and i as a root of multiplicity 1 and-3 with multiplicity 2.
![一道数学英文题Find a polynomial of degree 4with real coefficients a](/uploads/image/z/8536166-62-6.jpg?t=%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E8%8B%B1%E6%96%87%E9%A2%98Find+a+polynomial+of+degree+4with+real+coefficients+a)
Let the polynomial as f(x)
then f(x)=a(x^2+1)(x+3)^2=a(x^2+1)(x^2+6x+9)=a(x^4+6x^3+10x^2+6x+9)
a is a real number but not 0.
then f(x)=a(x^2+1)(x+3)^2=a(x^2+1)(x^2+6x+9)=a(x^4+6x^3+10x^2+6x+9)
a is a real number but not 0.
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