Algebra II 4.09: The Fundamental Theorem of Algebra
What is the complete factorization of the polynomial function over the set of complex numbers? f(x)=x^3+3x^2+16x+48
(x+3)(x-4i)(x+4i)
What is the complete factorization of the polynomial function over the set of complex numbers? f(x)=x^3−4x^2+4x−16
(x-4)(x+2i)(x-2i)
How many complex roots does the polynomial equation have? 5x^3−4x+1=0
3
How many complex roots does the equation 0=4x^4−x^3−5x+3 have?
4
How many complex roots does the equation 0=3x^5−x^4−5x^2+1 have?
5
How many complex roots does the polynomial equation have? 3x^5−2^x+1=0
5
Which answer best describes the complex zeros of the polynomial function? f(x)=x^3+x^2+10x+10
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.
Which answer best describes the complex zeros of the polynomial function? f(x)=x^3−x^2+6x−6
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.
What is the completely factored form of f(x)=x^3+4x^2+7x+6?
f(x)=(x+2)(x−(−1+i√2))(x−(−1−i√2))
What is the completely factored form of f(x)=x^3+5x^2+4x−6?
f(x)=(x+3)(x−(−1+3‾√))(x−(−1−3‾√3))
