Question

find all the real zeros of the polynomial f(x)=x^4-74x^2+1225 and determine the multiplicity of each

Answer 1

Factor:

(x^2 - 49)(x^2 - 25) = 0

set each factor equal to zero, you get

x^2 - 49 = 0 or x = 7 and -7
x^2 - 25 = 0, you get x = -5 and 5

So 4 solutions for x: -7,-5,5,7

The catch was to be able to factor this polynomial.

Answer 2

thanks :D

Answer 3

welcome.