What is the third–degree polynomial function such that f(0) = –24 and whose zeros are 1, 2, and 3?
its really just a matter of setting up the product using the zeros as bait; then scaling it such that f(0) = -24
to tell you the truth i really dont know
given a root, the set up is such that: x - n = 0; when x=r; n=-r set up 3 products using the roots (x-1)(x-2)(x-3) now, determine your scalar by making x=0 a(-1)(-2)(-3) = -24 a(-6) = -24; when a=4 4(x-1)(x-2)(x-3) should do it
okay
well these are the possisble answers f(x) = 4x3 – 24x2 + 44x – 24 f(x) = 2x3 – 24x2 + 22x – 24 f(x) = 4x3 + 24x2 – 44x – 24 f(x) = 2x3 + 24x2 – 22x – 24
can you narrow it down any?
if anything, copy the solution i gave you into the wolf and see how it expands it ....
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