Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem ...

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 ...

In the cubic case, this is identical to (3.4). The Bernstein polynomials of degree four are shown in Figure 4.2. The control polygons in the figure are explained in a more thorough discussion of ...

We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

Del Pia, Alberto Hildebrand, Robert Weismantel, Robert and Zemmer, Kevin 2016. Minimizing Cubic and Homogeneous Polynomials over Integers in the Plane. Mathematics of ...

134 -135). B-splines are both a computationally accurate and efficient way of constructing a basis for piecewise polynomials; however, they are not the most natural method of describing splines. The ...