What are all the possible rational zeros for #f(x)=5x^3-2x^2+20x-8#?

1 Answer
Oct 2, 2016

Answer:

The possible rational zeros are: #+-1, +-2,+-4,+-8,+-1/5,+-2/5, +-4/5, +-8/5#

Explanation:

Find the possible rational zeros of:

#f(x)=color(red)5x^3-2x^2+2-x-color(blue)8#

The possible rational zeros are found by dividing the factors of the constant term #color(blue)8# (called #color(blue)p#) by the factors of the leading coefficient #color(red)5# (called #color(red)q#).

#color(blue)p/color(red)q=frac{+-1,2,4,8}{+-1,5}#

Dividing each number in the numerator by each number in the denominator gives:

#+-1, +-2,+-4,+-8,+-1/5,+-2/5, +-4/5, +-8/5#