Answer:
Step-by-step explanation:
Given <u>quadratic function</u>:
The x-intercepts of the graph are the points at which the curve <u>crosses the x-axis</u>, so when f(x) = 0.
To find these points, factor the quadratic equation, set it to zero, then solve for x.
To factor a quadratic in the form , find two numbers that multiply to ac and sum to b.
Therefore, the two numbers are -5 and 4.
Rewrite the middle term as the sum of these two numbers:
Factor the first two terms and the last two terms separately:
Factor out the common term (2x - 5):
Set the factored function to zero:
Apply the <u>zero-product property</u>:
Therefore, the x-intercepts of the graph are:
Learn more about quadratic equations here:
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