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Find the zeros of the following quadratic function by factoring. What are the x-intercepts of the graph of the function?

g(x)= x(x + 10) + 16

User Anand Jha
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Explanation:

To find the zeros of the quadratic function g(x) = x(x + 10) + 16 by factoring, we need to set g(x) equal to zero and solve for x.

Setting g(x) = 0:

x(x + 10) + 16 = 0

Expanding and rearranging:

x^2 + 10x + 16 = 0

Now, we can factor the quadratic expression:

(x + 2)(x + 8) = 0

To find the zeros, we set each factor equal to zero and solve for x:

x + 2 = 0 => x = -2

x + 8 = 0 => x = -8

Therefore, the zeros of the quadratic function g(x) are x = -2 and x = -8. These are also the x-intercepts of the graph of the function.

User Pardoner
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