Question

determine x⁴+x³+x²+x+1 is a factor of (x+1)​

Answer 1

Answer:

Solution :-

(i) x³ + x² + x + 1 Let x + 1 is a factor of given polynomial. Now, x + 1 = 0 x = -1 p(-1) = (-1)³ + (-1)² + (-1) + 1 = -1 + 1 - 1 + 1 = 2 - 2 = 0 Therefore, It is confirmed that x + 1 is a factor of x³ + x² + x + 1. (ii) x⁴ + x³ + x² + x + 1 Let x + 1 is a factor of given polynomial.

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