Answer:
x1= -7
x2=7
Step-by-step explanation:
To find the zeros of a polynomial function, you need to factorize it into multiple monomials or simply use a formula. Most questions want you to factorize the function, so I will solve this by factorization
g(x)=-10x^2 +490
0= -10x^2 +490 ----> we looking for zeroes, so g(x)=0
-10(x^2 - 49)=0 ---> divide -10 from both number
x^2 - 49 =0 ---> divide both side by -10, notice that 49 is 7^2
(x+7)(x-7)=0 ---> x^2 - y^2 = (x+y) (x-y)
x1
x+7 = 0
x= -7
x2
x-7=0
x= 7
