solving polynomials given a complex conjuate

Front

What is a polynomial?

Back

Front

What does it mean for a number to be a root of a polynomial?

Back

Front

What is the complex conjugate of a complex number?

Back

Front

If a polynomial has real coefficients, what can be said about its complex roots?

Back

Front

How do you factor a polynomial given its roots?

Back

Front

What is the degree of a polynomial?

Back

Front

What is the relationship between the number of roots and the degree of a polynomial?

Back

Front

What is the factored form of a polynomial with roots 2, 5i, and 6?

Back

Front

How do you find the roots of a polynomial equation?

Back

To find the roots of a polynomial equation, set the polynomial equal to zero and solve for the variable using factoring, the quadratic formula, or numerical methods.

Front

What is the significance of imaginary roots in polynomials?

Back

Imaginary roots indicate that the polynomial does not intersect the x-axis at those points. They are important in understanding the behavior of the polynomial graph.