Excel in math and science.

Join using Facebook Join using Google Join using email

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Existing user? Log in

Polynomial Inequalities

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

Show explanation

by Anish Harsha

Are you sure you want to view the solution?

Cancel Yes I'm sure

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)

Show explanation

by Sandeep Bhardwaj

Are you sure you want to view the solution?

Cancel Yes I'm sure

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

Show explanation

by Priyansh Sangule

Are you sure you want to view the solution?

Cancel Yes I'm sure

How many integer values of $u$ satisfy $u^4+u^3-12u^2<0?$

Show explanation

by Sandeep Bhardwaj

Are you sure you want to view the solution?

Cancel Yes I'm sure

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

Show explanation

by Kumar Gupta

Are you sure you want to view the solution?

Cancel Yes I'm sure