Need Help! Factor each polynomial completely. Write any repeated factor in exponential form, then name all zeroes and their multiplicity.

P(X)= (X ^2 -10X + 25) (X^2 + 4X - 45) (X+9)

Question

Need Help! Factor each polynomial completely. Write any repeated factor in exponential form, then name all zeroes and their multiplicity.

P(X)= (X ^2 -10X + 25) (X^2 + 4X - 45) (X+9)

anonymous · Answer

ok so here we can start to simplify the polynomials.

simplifying first poly: x^2 -10x + 25 we get
(x-5)(x-5) 

simplifying the second bracket: x^2 + 4x - 45 we get
(x+9)(x-5)

so now writing P(x)  = (x-5)(x-5)(x+9)(x-5)(x+9) = (x+5)^3   *  (x+9)^2

soo from here ...
x+9 = 0 so x = -9
x+5 = 0 so x = -5

Hence x = -5 and -9 are two answers for the solution