Pregunta
Find the zeros of the following quadratic function by factoring. What are the \( x \)-intercepts of the graph of the function? \( f(x)=x^{2}-9 x \) Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Use a comma to separate answers as needed.) A. The zeros and the x-intercepts are the same. They are B. The zeros and the x-intercepts are different. The zeros are , the x-intercepts are
Ask by Potter Cox. in the United States
Mar 01,2025
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The zeros and the x-intercepts are the same. They are 0, 9.
Solución
To find the zeros of f(x) = x² – 9x, we factor the expression:
f(x) = x(x – 9)
Setting each factor equal to zero gives:
x = 0 or x – 9 = 0 → x = 9
These zeros of the function correspond directly to the x-intercepts of the graph. Thus, the zeros and the x-intercepts are the same.
A. The zeros and the x-intercepts are the same. They are 0, 9.
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To find the zeros of the quadratic function \( f(x) = x^2 - 9x \), we can factor the expression. First, we factor out the common term \( x \): \[ f(x) = x(x - 9) \] Now, we set the factored form equal to zero to find the zeros: \[ x(x - 9) = 0 \] This gives us two solutions: 1. \( x = 0 \) 2. \( x - 9 = 0 \) ➔ \( x = 9 \) Therefore, the zeros and the \( x \)-intercepts of the graph of the function are the same. They are: 0, 9
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