Question

ALGEBRA 2 Please help! :)

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

7. -4, 1,2

8. 2,3,-1

Answer 1

well what you need to know is that is

x = -4 is a zero then x + 4 is a factor...

so find the other 2 factors...

then multiply them together for the polynomial.

in each question you are dealing with degree 3 polynomials.

Answer 2

\[\alpha,\beta,\gamma \]
are three zeroes of the polynomials then
\[f(x) = (x-\alpha)(x-\beta)(x-\gamma)\]

Answer 3

7)\[\alpha= -4,\beta=1,\gamma=2\]
substitute the values and get the polynomial