+0  
 
0
505
1
avatar

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+78551 
+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
Sort: 

1+0 Answers

 #1
avatar+78551 
+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

29 Online Users

avatar
avatar
avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details