Question

2x² +8x + 8 = 0 find the zeroes of polynomial

Answer 1

the zero of the polynomial is -2 because if we substitute x as -2 we get the value of the polymial as zero that is,
2(-2)^2 +8(-2)+8
8-16+8
=0

Answer 2

8x can be written as 4x+4x,

Now the equation would be 2x²+4x+4x+8 = 0,

take 2x common in first two terms and 4 in last two terms,
=>2x(x+2)+4(x+2) = 0, Now take (x+2) common,

=> (x+2)*(2x+4) = 0,
=> Either x+2 = 0 or 2x+4 = 0,
=> Either x = -2 or x = -4/2 = -2, But both are same, So there is only 1 zero of the polynomial but two roots,

=> The zero of the polynomial is -2,

Hope you understand, Have a great day !!