# SOLUTION: How is this questions solved? Consider the polynomial function p(x)=2x^3-9x^2+4x+15 Show using the intermediate therem that p(x) has a zero between -2 and 0.

Algebra ->  -> SOLUTION: How is this questions solved? Consider the polynomial function p(x)=2x^3-9x^2+4x+15 Show using the intermediate therem that p(x) has a zero between -2 and 0.      Log On

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 Click here to see ALL problems on Linear-equations Question 736771: How is this questions solved? Consider the polynomial function p(x)=2x^3-9x^2+4x+15 Show using the intermediate therem that p(x) has a zero between -2 and 0.Answer by nerdybill(7090)   (Show Source): You can put this solution on YOUR website!See the web site below for additional explanation: http://www.mathsisfun.com/algebra/intermediate-value-theorem.html . p(x)=2x^3-9x^2+4x+15 . p(-2)=2(-2)^3-9(-2)^2+4(-2)+15 p(-2)=2(4)-9(4)+(-8)+15 p(-2)=8-36-8+15 p(-2)=-36+15 p(-2)=-21 (negative) . p(0)=2(0)^3-9(0)^2+4(0)+15 p(0)=0-0+0+15 p(0)=15 . Since p(-2) is NEGATIVE the function MUST cross y=0 to get to p(0). Because p(0) is POSITIVE.