Which of the following values are zeros of f(x) = x³ – 8x² – 5x + 84? Select all that apply.
Accepted Solution
A:
Answer:The answer to your question is: -3 and 7Step-by-step explanation:To know if a value is a zero of the polynomial is necessary to find the prime factors of 84. 84 2 42 2 21 3 7 7 1Then, the possible values are ±1, ±2, ±3, ±7.After that, we evaluate each value in the polynomial, if the result is zero, that number is a root of the polynomial.Example (-3)³ - 8(-3)² - 5(-3) + 84 -27 - 72 + 15 + 84 - 99 + 99 = 0 Then, -3 is a zero of the polynomial (7)³ - 8(7)² - 5(7) + 84 343 - 392 - 35 + 84 427 - 427 = 0 Then, 7 is a zero of the polynomial