Write a polynomial function $f$`f` of least degree that has rational coefficients, a leading coefficient of 1, and the given zero(s).

$-2,\ 3,\ 6$

Your answer

asked 2021-12-09

Write a polynomial function $f$`f` of least degree that has rational coefficients, a leading coefficient of 1, and the given zero(s).

$-2,\ 3,\ 6$

asked 2021-05-23

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.

1 + i, 2

1 + i, 2

asked 2021-02-18

The equation of this polynomial in factored form would be \(f(x) =\)

The equation of this polynomial in standard form would be \(f(x) =\)

asked 2021-10-17

A given polynomial has a root of x = 3, an zero of x = -2, and an x-intercept of x = -1.

The equation of this polynomial in factored form would be f(x) =

The equation of this polynomial in standard form would be f(x) =

The equation of this polynomial in factored form would be f(x) =

The equation of this polynomial in standard form would be f(x) =

asked 2021-08-08

DISCUSS DISCOVER: How Many Real Zeros Can a Polynomial Have? Give examples of polynomials that have the following properties, or explain why it is impossible to find
such a polynomial.

(a) A polynomial of degree 3 that has no real zeros

(b) A polynomial of degree 4 that has no real zeros

(c) A polynomial of degree 3 that has three real zeros, only one of which is rational

(d) A polynomial of degree 4 that has four real zeros, none of which is rational

What must be true about the degree of a polynomial with integer coefficients if it has no real zeros?

(a) A polynomial of degree 3 that has no real zeros

(b) A polynomial of degree 4 that has no real zeros

(c) A polynomial of degree 3 that has three real zeros, only one of which is rational

(d) A polynomial of degree 4 that has four real zeros, none of which is rational

What must be true about the degree of a polynomial with integer coefficients if it has no real zeros?

asked 2021-09-09

\(n=3\).

4 and 2i are zeros.

\(f(-1)=75\)

Find an nth-degree polynomial function with real coefficients

asked 2021-06-25