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

User Mirswith
by
7.3k points

1 Answer

4 votes

Answer:

x1= -7

x2=7

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

User Jay Modi
by
7.9k points

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