Determine whether (x – 1) is a factor of the following polynomials: x4 + 5x2 – 5x + 1 - Mathematics

Determine whether (x – 1) is a factor of the following polynomials:

x⁴ + 5x² – 5x + 1

Sum

Let P(x) = x⁴ + 5x² – 5x + 1

By factor theorem, (x – 1) is a factor of P(x), if P(1) = 0

P(1) = 1⁴ + 5 (1²) – 5(1) + 1

= 1 + 5 – 5 + 1

= 2 ≠ 0

∴ (x – 1) is not a factor of x⁴ + 5x² – 5x + 1

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Chapter 3: Algebra - Exercise 3.3 [Page 96]

Chapter 3 Algebra
Exercise 3.3 | Q 7. (ii) | Page 96

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