Answer: x = [tex]\sqrt{5} , -\sqrt{5}[/tex] , and 2
Step-by-step explanation:
in the first two monomials you can factor out x^2, and on the last pair of two monomials you can factor out 5
so, x^2(x-2)+5(x-2)
some rule out there says you can simplify this to
(x^2+5)(x-2)
to find the zeroes, set it equal to zero
(x^2+5)(x-2) = 0
you can split up the pairs of parenthesis to equal 0
(x^2+5) = 0
(x-2)=0
find x for both equation and you end up with [tex]\sqrt{5} , -\sqrt{5} , and 2[/tex]
