Use the intermediate value theorem for polynomials to show that 3x^2-x-4 has a zero between 1 and 2

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Use the intermediate value theorem for polynomials to show that 3x^2-x-4 has a zero between 1 and 2

[From: ] [author: ] [Date: 12-01-23] [Hit: ]

according to the theorem.Simple.......

super confused with this math problem. could someone please help explain it to me?? i would really appreciate the help!

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p(1)=-2
p(2)=6

Since it is a continuous function, there must be an x between 1 and 2 where p(x)=0 per IVT.

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If a continuous function has a negative value somewhere and a positive value somewhere, then 0 is a value of the function somewhere in between, according to the theorem. Simple.

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