Question

Find a polynomial degree of three with coefficients -3, -1, 4 for which f(-2)=-18

Answer 1

you mean with zeros of -3,-1, and 4?

Answer 2

Only 3! ways to arrange these coefficients. But is there a better way?

Answer 3

this is weird, there would be 4 coefficients

Answer 4

Yes! -3, -1 and 4

Answer 5

zeros or coefficients?

Answer 6

Yeah wait what hahaha.

Answer 7

Find a polynomial of degree 3 with real coefficients and zeros of -3, -1 and 4 for which f(-2)=-18

Answer 8

Sorry all! Hope that clears it up.

Answer 9

\(a(x+3)(x+1)(x-4)\)

we have when x is -2 y is -18

so

\(a(-2+3)(-2+1)(-2-4)=-18\)

solve for a

Answer 10

Yeah that's more like it, although sadly not as interesting haha.

Answer 11

do what I said \(\uparrow\)