Right the equation of least degree given the roots. what is the solution? x=3,-1,5

1 Answer
Jim H
Mar 19, 2018

#(x-3)(x-1.5) = 0#

Explanation:

If #z# is a zero of polynomial #P#, then #x-z# is a factor.

So the factors of the polynomial requested are #x-3# and #x-1.5#.

The polynomial equatiuon of least degree with the requested roots is

#(x-3)(x-1.5) = 0#.

We could simplify to:

#x^2-4.5x+4.5=0#.

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