Waste less time on Facebook — follow Brilliant.
Back to all chapters
Polynomial Inequalities
When does revenue exceed cost? When will one race car pass another? Model these values with polynomials and use polynomial inequalities to solve questions like these and more.
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 \(x\)?
by
Anish Harsha
Find the interval of \(v\) which satisfies the inequality \[(v+2)^2(v-4)(v-6)<0.\]
by
Sandeep Bhardwaj
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?
by
Priyansh Sangule
by
Sandeep Bhardwaj
Clarification: The graph intersects the \(x\)-axis at \(x=1\).
by
Kumar Gupta