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Algebra

Polynomial Inequalities

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Quadratic Inequalities - Basic
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Level 2
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Polynomial Inequalities: Level 2 Challenges

Let \(x\) be a real number such that the square root of \(x\) is greater than the square of \(x\). Which of the following is a possible value of \(x\)?

\[\frac{1}{4}\] \[\frac{9}{4}\] \[4\] \[1\]

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by Anish Harsha

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Find the interval of \(v\) which satisfies the inequality \[(v+2)^2(v-4)(v-6)<0.\]

\[(-2,6)\] \[(-2,4)\] \[[4,6]\] \[(4,6)\]

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by Sandeep Bhardwaj

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Consider the polynomial \( p(x) = ax^2 + bx + c \) has no real roots. Provided that \(25a+5b+c>0\), which of the following condition must be true?

Can't be determined c < 0 c > 0 c = 0

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by Priyansh Sangule

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How many integer values of \(u\) satisfy \[u^4+u^3-12u^2<0?\]

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by Sandeep Bhardwaj

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The graph above is a quadratic function, \(y =x^2+kx-2\) for some constant \(k\). What is the solution to the quadratic inequality \(x^2 + kx-2 < 0 \)?

Clarification: The graph intersects the \(x\)-axis at \(x=1\).

\[-1<x<1\] \[-2<x<2\] \[-1<x<2\] \[-2<x<1\]

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by Kumar Gupta

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Excel in math and science

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Polynomial Inequalities

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Challenge Quizzes

Polynomial Inequalities: Level 2 Challenges

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Excel in math and science

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Excel in math and science

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Our wiki is made for math and science

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Excel in math and science

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Our wiki is made for math and science

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Excel in math and science

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It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

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Master advanced concepts through explanations,
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Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.