SOLUTION: The polynomial of degree 3, P(x) has a root multiplicity 2 at x=2 and a root of multiplicity 1 at x=-5. The y intercept is y=-16. Find a formula for P(x)
P(x)=
Question 1194014: The polynomial of degree 3, P(x) has a root multiplicity 2 at x=2 and a root of multiplicity 1 at x=-5. The y intercept is y=-16. Find a formula for P(x)
P(x)= Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website! .
The polynomial of degree 3, P(x) has a root multiplicity 2 at x=2 and a root of multiplicity 1 at x=-5.
The y intercept is y=-16. Find a formula for P(x)
P(x)=
~~~~~~~~~~~~~~~
From the "given" part, P(x) = , and only real coefficient "a" is unknown.
To find it, use the condition about y-intercept (which happens when x=0). It gives
= -16.
From this equation, find "a"
a*4*5 = - 16
a = .
Hence, P(x) = . ANSWER