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How many points will the graph of x2 + 2x + 1 will cut the x-axis?
- a)3
- b)1
- c)2
- d)0
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)...
The graph of x2 + 2x + 1 does not cut the x-axis, because it has imaginary roots.
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + (x + 1) = 0
(x + 1)(x + 1) = 0
x = -1, -1
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + (x + 1) = 0
(x + 1)(x + 1) = 0
x = -1, -1
Most Upvoted Answer
How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)...
The graph of x2 + 2x + 1 does not cut the x-axis, because it has imaginary roots.
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + (x + 1) = 0
(x + 1)(x + 1) = 0
x = -1, -1
x2 + 2x + 1 = 0
x2 + x + x + 1 = 0
x(x + 1) + (x + 1) = 0
(x + 1)(x + 1) = 0
x = -1, -1
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Community Answer
How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)...
Explanation:
Graph of x^2 + 2x + 1
- The given equation is a quadratic equation of the form ax^2 + bx + c.
- In this case, a = 1, b = 2, and c = 1.
- The graph of this equation is a parabola that opens upwards.
- Since the leading coefficient (a) is positive, the parabola will not intersect the x-axis.
Points of intersection with the x-axis
- For a quadratic equation to intersect the x-axis, the discriminant (b^2 - 4ac) must be greater than 0.
- The discriminant for this equation is (2)^2 - 4(1)(1) = 4 - 4 = 0.
- Since the discriminant is 0, the equation will not intersect the x-axis.
- Therefore, the graph of x^2 + 2x + 1 will not cut the x-axis at any point.
Conclusion
- The correct answer is option 'D', i.e., 0 points where the graph of x^2 + 2x + 1 will cut the x-axis.
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How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer?
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How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many points will the graph of x2+ 2x + 1 will cut the x-axis?a)3b)1c)2d)0Correct answer is option 'D'. Can you explain this answer?.
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