Question 1195206
I'll solve this part by myself. 

(b)   If {{{x+2}}} and {{{x-3}}} are factors of the polynomial {{{p(x) = x^3+5x^2+ax+b}}}, 
        find {{{a}}}.
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<pre>
First, you should multiply the two known factors together: 

{{{(x+2)(x-3)}}}

which simplifies to:
{{{x^2-x-6}}}

after you get that, one method to solve this problem is to do trial and error:

After a while, you should get:

{{{(x^2-x-6)(x+6)}}}

The simplified version is:
{{{x^3+5x^2-12x-36}}}

Now, you can see that {{{a=-12}}}, and {{{b=-36}}}.

Thus we get the <U>ANSWER</U> :  a = {{{-12}}}.

</pre>

&nbsp;&nbsp;&nbsp;Solved.





(hehe solved my own problem)