Question

find the zeros of the following quadratic polynomial and verify the relationship between zeros and the coefficients
1. 5x²+10x​

Answer 1

Answer:

Hope it helps.

Step-by-step explanation:

5x^2+10x=0

x(5x+10)=0

x=0 or x= -2

The roots are 0 and -2

Relation between roots and coefficients

Sum of roots= -10/5= -2

Roots are 0, -2

Sum is 0+(-2)= -2

Product of roots= 0/5 = 0

Roots are 0, -2

Product is 0(-2)=0

Hence Verified.....

Answer 2

Step-by-step explanation:

5x^2+10x+0=0

5x^2+10x+0x+0=0

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

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

x=0, -2

relationship between sum and product of zeros,

sum = -b/a = -10/2 = -2

product= c/a = 0/5=0