the sum of the zeros of the polynomial 2x cube minus 5 x square - 14 x + 8
Answers
Answer:2 1/2
Step-by-step explanation:
First factorize polynomial and then use factors to get zeroes
Sum of Zeroes = 5/2 for 2x³ - 5x² - 14x + 8
Step-by-step explanation:
2x³ - 5x² - 14x + 8
Simple method
Sum of Zeroes = - (-5)/2 = 5/2
factorization methos
2x³ - 5x² - 14x + 8
= (x + 2)(2x² - 9x + 4)
= (x + 2)(2x² - 8x - x + 4)
= (x + 2)(2x(x - 4) - 1(x - 4))
= ( x + 2)(2x - 1)(x - 4)
x = -2 , 1/2 , 4
Sum of Zeroes = -2 + 1/2 + 4
= 5/2
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