Polynomials of Real Coefficients and Multiplicity
The equation \( 4x^3-27x+k=0 \) has a double root. Find the possible values of \( k \). When we differentiate a polynomial function, we get…
Category: Polynomials
Halving the Interval Method with Relative Accuracy
Find the smallest positive root of \( x^3-2x + 1 = 0 \) with relative accuracy of \( 0.5 \% \) by finding good starting…
Determining the Number of Real Roots of a Cubic Equation
Determin how many of the roots (zeroes) of a cubic polynomial are real by the use of the sums and products of a polynomial.
