How do you find the zeros and multiplicity of #f(x)=(x-2)^4(x-3)#?

1 Answer
Jim G.
May 25, 2017

#x=2" multiplicity 4", x=3" multiplicity 1"#

Explanation:

#"zeros are the values of x that make " f(x)=0#

#"solve " (x-2)^4(x-3)=0#

#"equate each factor to zero"#

#(x-2)=0rArrx=2#

#rArr(x-2)^4=0rArrx=2larr" 4 times"#

#x-3=0rArrx=3larr" 1 only"#

#rArrx=2" with multiplicity 4"#

#"and " x=3" with multiplicity 1"#

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