Find the zeros of the polynomial function and state the multiplicity of each
f(x)=5(x+7)^2(x-7)^3

Question

Find the zeros of the polynomial function and state the multiplicity of each
f(x)=5(x+7)^2(x-7)^3

anonymous · Answer

can you walk  me through the steps @***[ISURU]***  ?

anonymous · Answer

@***[ISURU]***

***[isuru]*** · Answer

How far did you went on this one ?... did you manage to find the zeros of this polynomial ?

anonymous · Answer

I do not know how to work this problem. I need someone to show me how to solve it. :D

***[isuru]*** · Answer

lets take the polynomial 
             p(x) = 5(x+7)(x-7)
Its the same polynomial as your question but without the powers of 2 and 3 

now to find the zeros...
      lets  find the "x" values when p(x) = 0
                  0 = 5(x+7)(x -7) 

now can you find the "x" values where this function will become zero ?

anonymous · Answer

would you do x+7=0 and x-7=0 ?

***[isuru]*** · Answer

yes...and what will you get ? :)

anonymous · Answer

-7 and 7

anonymous · Answer

ok so the answer would -7 multiplicity 2 and 7 multiplicity 3 right?

***[isuru]*** · Answer

You got it correct ! :)

anonymous · Answer

thank you!

***[isuru]*** · Answer

you r welcome :)