How do you write a polynomial with zeros 1,-4, 5?

1 Answer
Feb 22, 2016

Answer:

Polynomial is #(x-1)(x+4)(x-5)#
or #x^3-2x^2-19x+20#

Explanation:

A polynomial (say with #x# as variable) with zeros 1,-4, 5, means that when #x# is put equal to either #1# , #-4# or #5#, its value reduces to zero.

Hence the polynomial would be #(x-1)(x+4)(x-5)#

or #(x-1)(x^2+4x-5x-20)# (multiplying last two factors)

or #(x-1)(x^2-x-20)#

or #x^3-x^2-20x-x^2+x+20# or

#x^3-2x^2-19x+20#