There is a little rule of thumb that you can count on for finding zeroes of polynomials with complex roots.
Complex roots always come in pairs. Each root of the pair is the complex conjugate of the other.
For example, if you have a root as 4+3i, the other root must be 4-3i. If another complex root is -2-i, then its conjugate is -2+i, etc.
To get the correct answer to the given problem, you only need to choose the complex conjugate of the given complex root.
Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find
Please help. Having a hard time with this. Find all of the zeros of the polynomial function and state the multiplicity of each. f (x) = (x^2 – 16)^2 A. – 4 with multiplicity 2 and 4 with multiplicity 2 B. – 4i with
I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x)
Find all of the zeros of the polynomial function and state the multiplicity of each. f (x) = (x^2 – 16)^2 A. – 4 with multiplicity 2 and 4 with multiplicity 2 B. – 4i with multiplicity 2 and 4i with multiplicity 2 C. 4 with