IGNOU BMTE 144 2026 - Using synthetic division method, show that 2 is a simple root of

Question

Using synthetic division method, show that 2 is a simple root of the equation

$p(x) = x^4 - 2x^3 + x^2 - x - 2 = 0$ .

09 Jan 2026

Answer :

Word Count : 230

We are given the polynomial [ p(x) = x^4 - 2x^3 + x^2 - x - 2 ] and asked to show that (x = 2) is a simple root using synthetic division. Set up synthetic division with root (2): Coefficients of (p(x)): (1, -2, 1, -1, -2) [ \begin{array}{r|rrrrr} 2 & 1 & -2 & 1 & -1 & -2 \ & & 2 & 0 & 2 & 2 \ \hline & 1 &

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