Question

What polynomial has roots of -5, 2, and 4 ?

Answer 1

(x + 5)((x - 2)(x - 4)

expand to get you answer

Answer 2

what does that mean?

Answer 3

heres a simple example :

(x - 2)(x + 1) = x(x + 1) - 2(x + 1) = x^2 + x - 2x -2 = x^2 - x - 2

then if theres another binomial (as in your example) repeat the process again

this process is called the application of the distributive law

Answer 4

does it have the stated roots ONLY? or can the stated roots be a subset of the roots set?

Answer 5

OR, does it give you a set of options that its asking you which one has those as roots

Answer 6

(x + 5)(x - 2)(x - 4) is one poly

a (x + 5)(x - 2)(x - 4) is a family of polys

a (x + 5)^m (x - 2)^n (x - 4)^p are even more polys

a (x + 5)^m (x - 2)^n (x - 4)^p .... (x-r1) (x-r2) .... (x-rn) are even more polys

Answer 7

x3 - x2 - 22x + 40
x3 + x2 - 22x - 40
x3 + 3x2 - 18x - 40
x3 - 3x2 - 18x + 40
my options

Answer 8

a simple way, if factoring isnt your strong point, is to just plug in the value of the given roots to see which one makes zeros

Answer 9

ok