Question

find the zeroes and verify the reltionship between zeroes and coefficient;
x² + 2√2x - 6

Answer 1

hello so here we go for ur answer::::::::::::::>

zero= the maximum power of any polynomial is. called its zero.

cofficient= the number coming before any variable is called cofficient. eg-- in 2x, 2 is cofficient of x

so the zero of ur eq. is 2

but u haven't asked the cofficient of which no. u want.......

so check yourself......

hope it helps

Answer 2

p(x) = x² + 2√2x -6

[ By splitting the middle terms ]

x² + 2√2x - 6

x² + 3√2x - √2x - 6

x [ x + 3√2 ] - √2 [ x+ 3√2]

[ x - √2 ] [ x+ 3√2]

the zeros are = √2 and -3√2

α = √2

β = -3√2

a = 1

b = 2√2

c = -6

Sum of zeros = √2 + -3√2 = -2√2 = -b/a [ -b/a = -2√2 ]

Product of zeros = √2 × -3√2 = - 6 = c/a [c/a = -6/1 = -6]