Complete the steps to factor the polynomial by grouping.P(x) = x3 + 5x2 – x – 5
Accepted Solution
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Answer Find the steps to factor the polynomial by grouping.To proveAs given the polynomial in the questionP(x) = x³ + 5x² – x – 5P(x) = x² (x + 5) – (x + 5)Take (x + 5) as commonP(x) = (x + 5) (x² - 1)As using the identity(a² - b²) = (a - b)(a + b)P(x) = (x + 5) (x - 1)(x + 1)Therefore the factors of the polynomial by grouping are (x + 5) and (x - 1)(x + 1) .