Question

find the sum and product of zero of the following polynomial minus 5 x power 2+ 3 X + 4​

Answer 1

Answer:

sum of the zeros = 3/5

product of the zeros =-4/5

Step-by-step explanation:

give polynomial -5^2x+3x+4

from the above polynomial a=-5,b=3,c=4

let,

Two zeros be α and β

Sum of the zeros α+β = -(b/a)

Product of the zeros αβ = (c/a)

Then,

sum of the zeros = -(b/a)

= -(3/-5) = 3/5

product of zeros = (c/a)

= (4/-5) = -4/5

Answer 2

GIVEN :

Polynomial = -5x² + 3x + 4

TO FIND :

Sum and product of zeroes

SOLUTION :

Let the zeroes be α and β

We know that,

Sum of zeroes (α+β) using coefficients = -b/a

Product of zeroes(αβ) using coefficients = c/a

From the above polynomial,

a = -5 b = 3 c = 4

Therefore,

Sum of zeroes (α+β) = -b/a = -(3/-5) = 3/5

Product of zeroes (αβ) = c/a = - 4/5