Question

5x2+8x-4=0 find zeros of the polynomial and verify the relation between thecoeffient

Answer 1

Answer:

zeroes are 2/5 and -2

Step-by-step explanation:

5x² + 8x - 4 = 0

5x² + (10 - 2)x - 4 = 0

5x² + 10x - 2x - 4 = 0

5x(x + 2).-2(x + 2) = 0

(5x - 2)(x + 2) = 0

5x - 2 = 0 , x + 2 = 0

5x = 2 . x = -2

x = 2/5 , x = -2

verification

sum of zeroes = -b/a

2/5 + (-2) = -8/5

(2 - 10)/5 = -8/5

-8/5 = -8/5

product of zeroes = c/a

2/5 × (-2) = -4/5

-4/5 = -4/5