Quadratic X-Intercepts Sample Problems

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These sample problems below for Quadratic X-Intercepts were generated by the MathScore.com engine.

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) = x² + 16x + 64	x-intercepts:
Solution To find the x-intercepts, set the trinomial equal to 0. x² + 16x + 64 = 0 Factor the trinomial. ( x + 8)² = 0 Solve for x. x + 8 = 0 Therefore, the x-intercept is -8 Alternate Solution You can also use the quadratic formula to find the x-intercepts.

#	Problem	Correct Answer	Your Answer
2	f(x) = x² + 2x + 11	x-intercepts:
Solution To find the x-intercepts, set the trinomial equal to 0. x² + 2x + 11 = 0 Use the quadratic formula to find the x-intercepts. Based on ax² + bx + c, we have: a = 1, b = 2, c = 11 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.

Problem

Correct Answer

Your Answer

f(x) = x² + 2x + 11

x-intercepts:

Solution
To find the x-intercepts, set the trinomial equal to 0.
x² + 2x + 11 = 0
Use the quadratic formula to find the x-intercepts.
Based on ax² + bx + c, we have:
a = 1, b = 2, c = 11

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.

MathScore.com

Sample Problems For Quadratic X-Intercepts

Complexity=1

Answers

Complexity=1