Question

the sum of the zeros of the polynomial 2x cube minus 5 x square - 14 x + 8​

Answer 1

Answer:2 1/2

Step-by-step explanation:

First factorize polynomial and then use factors to get zeroes

Answer 2

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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