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15 votes
Help me out here guys

Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)



Which two functions, when graphed, have the same number of x-intercepts?

A.
f(x) and g(x)

B.
g(x) and h(x)

C.
h(x) and k(x)

D.
k(x) and f(x)

User Meril
by
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1 Answer

13 votes
D.

f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts

similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)
User Language Lawyer
by
3.3k points