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the polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=-3. The y-intercept is y= -19.2 . Find a formula for P(x) . 

Guest May 19, 2015

Best Answer 

 #1
avatar+87293 
+5

P(x) = (x -4)^2 (x +3)  =  x^3  - 5x^2 - 8x + 48

 

If the y intercept = -19.2  we need to solve   48m = -19.2      and m = (-2/5)...so....

 

P(x) = m ( x^3  - 5x^2 - 8x + 48) =  (-2/5)x^3 + 2x^2 + (16/5)x - 19.2

 

Here's the graph........https://www.desmos.com/calculator/toyzyhqsgb

 

 

CPhill  May 19, 2015
 #1
avatar+87293 
+5
Best Answer

P(x) = (x -4)^2 (x +3)  =  x^3  - 5x^2 - 8x + 48

 

If the y intercept = -19.2  we need to solve   48m = -19.2      and m = (-2/5)...so....

 

P(x) = m ( x^3  - 5x^2 - 8x + 48) =  (-2/5)x^3 + 2x^2 + (16/5)x - 19.2

 

Here's the graph........https://www.desmos.com/calculator/toyzyhqsgb

 

 

CPhill  May 19, 2015

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