Step-by-step explanation:
let us assume p(x) = (x-1) - (x² - 1)
=> p(x) = (x-1) - (x-1)(x+1) (using a² - b² = (a + b)(a - b)
=> p(x) = (x - 1)(1 - (x + 1))
=> p(x) = (x-1)(-x)
therefore, factors of p(x) are (x - 1) and (-x)
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Answers & Comments
Step-by-step explanation:
let us assume p(x) = (x-1) - (x² - 1)
=> p(x) = (x-1) - (x-1)(x+1) (using a² - b² = (a + b)(a - b)
=> p(x) = (x - 1)(1 - (x + 1))
=> p(x) = (x-1)(-x)
therefore, factors of p(x) are (x - 1) and (-x)