Math Practice Problems - Quadratic X-Intercepts

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Quadratic X-Intercepts - Sample Math Practice Problems

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Answers

Complexity=1

Find the x-intercepts of each function. Separate multiple answers by commas. Example: x=-3/2,2
If there is no x-intercept, write "none".

#	Problem	Correct Answer	Your Answer
1	f(x) = ^-3x² + 36x - 81	x-intercepts:
Solution To find the x-intercepts, set the trinomial equal to 0. ^-3x² + 36x - 81 = 0 Factor the trinomial. ^-3(x - 3)(x - 9) = 0 Solve for x. x - 3 = 0 x - 9 = 0 Therefore, the x-intercepts are 3,9 Alternate Solution You can also use the quadratic formula to find the x-intercepts.

Problem

Correct Answer

Your Answer

f(x) = 2x² + 2x + 7

x-intercepts:

Solution
To find the x-intercepts, set the trinomial equal to 0.
2x² + 2x + 7 = 0
Use the quadratic formula to find the x-intercepts.
Based on ax² + bx + c, we have:
a = 2, b = 2, c = 7

Plugging into the quadratic formula results in these two answers:

Simplifying...

Since the square root is not a real number, there are no real number solutions.
Therefore, there are no x-intercepts.

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