Subject: Mathematics
Book: Maths Mastery
Polynomial inequalities like x²–5x+4≥0 require factoring to find critical points: (x–4)(x–1)≥0. Then test intervals around the roots x=1, x=4 to see where the product is nonnegative. Typically, you place the roots on a number line, check sign in intervals (–∞,1), (1,4), (4,∞), and choose intervals that satisfy ≥0. This approach extends to cubic or higher polynomials. In engineering or advanced math, polynomial inequalities define stability ranges or design constraints. Mastery ensures precise solutions to complex numeric intervals in real-life contexts.
A car covers a distance of 150 km in 2.5 hours. What is its average speed?
View QuestionThe sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionWhat is the cube root of 729?
View QuestionIf log(100) = 2 and log(10) = 1, what is log(1000)?
View QuestionWhat is the greatest common divisor (GCD) of 36 and 48?
View QuestionWhat is the probability of drawing a king from a standard deck of 52 playing cards?
View QuestionIf a:b = 2:3 and b:c = 4:5, what is a:c?
View QuestionIf the average of five consecutive odd numbers is 25, what is the largest number?
View QuestionWhat is the probability of drawing an ace from a standard deck of 52 cards?
View Question