Complex zeroes are always in conjugate pairs: so 4-6i is paired with 4+6i, and -2+11i is paired with -2-11i.

Question

asked 2021-09-09

\(n=3\).

4 and 2i are zeros.

\(f(-1)=75\)

Find an nth-degree polynomial function with real coefficients

asked 2021-09-16

Find a cubic polynomial function f with real coefficients that has the given complex zeros and x-intercept. (There are many correct answers. Expand your answer completely.)

Complex Zeroes

\(\displaystyle{x}={2}\pm\sqrt{{{2}}}{i}\)

X-Intercept (5,0)

Complex Zeroes

\(\displaystyle{x}={2}\pm\sqrt{{{2}}}{i}\)

X-Intercept (5,0)

asked 2021-06-03

Determine whether the following function is a polynomial function. If the function is a polynomialâ€‹ function, state its degree. If it isâ€‹ not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.

\(g(x)=3-\frac{x^{2}}{4}\)

\(g(x)=3-\frac{x^{2}}{4}\)

asked 2021-05-25

Determine whether the following function is a polynomial function. If the function is a polynomialâ€‹ function, state its degree. If not why? Write the polynomial in standard form. Then identify the leading term and the constant term.

\(G(x)=2(x-3)^{2}(x^{2}+5)\)

\(G(x)=2(x-3)^{2}(x^{2}+5)\)