Question

Find the zeros of the function. Write the smaller solution first, and the larger solution second. g(x)=-10x^2 +490

Answer 1

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