Subject: Mathematics
Book: Maths Mastery
For polynomials f(x) and g(x), the GCD is the highest-degree polynomial that divides both without remainder. Analogous to integer gcd, you can use polynomial long division or the Euclidean algorithm. For example, GCD(x²–1, x²–x–2)= x–1. Polynomial GCDs matter in factoring expressions, simplifying rational expressions, or analyzing algebraic structures. This operation appears in advanced algebra, symbolic computation (CAS systems), or geometry constraints. Mastering polynomial gcd ensures robust factorization and solution extraction from polynomial-based equations.
A rectangle has a length of 10 cm and a width of 5 cm. What is the diagonal of the rectangle?
View QuestionIf x - y = 5 and x + y = 15, what is the value of x?
View QuestionIf a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?
View QuestionThe area of an equilateral triangle with side length 6 cm is:
View QuestionIf x = 3 and y = 4, what is the value of x^2 + y^2?
View QuestionA man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?
View QuestionA rectangle has an area of 48 cm² and a length of 8 cm. What is its width?
View QuestionIf a number is divisible by 9, it is also divisible by which of the following?
View QuestionHow many ways can 4 people sit in a row?
View QuestionIf a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?
View Question