How do you write a polynomial function given the real zeroes -5,2,-2 and coefficient 1?

1 Answer
Nov 13, 2015

Answer:

#f(x)=x^3+5x^2-4x-20#

Explanation:

#(x+5)(x-2)(x+2) = 0# if #x in {-5, 2, -2}#
#color(white)("XXX")#Since for any value of #x# in this set
#color(white)("XXX")#one of the terms will be #=0#

#(x+5)(x-2)(x+2)#
#color(white)("XXX")=(x+5)(x^2-4)#
#color(white)("XXX")=x^2+5x^2-4x-20#

(I assume when the questions says "coefficient 1" it means the coefficient of the highest order term).