If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often ...

First, we need to find which number when substituted into the equation will give the answer zero. \(f(1) = {(1)^3} + 4{(1)^2} + (1) - 6 = 0\) Therefore \((x - 1)\)is a factor. Factorise the quadratic ...

We classify all cubic systems possessing the maximum number of invariant straight lines (real or complex) taking into account their multiplicities. We prove that there are exactly 23 topological ...

In this paper we consider cubic polynomial systems of the form: ẋ = y + P(x, y), ẏ = -x + Q(x, y), where P and Q are polynomials of degree 3 without linear part ...

CBSE Mind Map for Class 10 Maths Chapter 2: Mind maps for class 10 students can be a very useful tool for their CBSE board exam preparations as they help you visually organize and connect different ...