Question

Determine whether (x-1) is a factor of the following polynomials:
i) x^4 + 5x² - 5x +1

Answer 1

Step-by-step explanation:

I hope you find it helpful.

Answer 2

$(x - 1) = 0 \\ x = 1 \\ \\ f(x) = {x}^{4} + {5x}^{2} - 5x + 1 \\ \\ f(1) = {1}^{4} + 5 \times {1}^{2} - 5 \times 1 + 1 \\ \\f(1) = 1 + 5 - 5 + 1 \\ \\ f(1) = 2$

Hence, this is not a factor of this polynomial.

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