Question

The sum and the product of zeroes of a quadratic polynomial are -8 and 12 respectively. Find the zeroes of polynomial​

Answer 1

alpha+beta= -8 = -b/a

alpha beta = 12 = c/a

by the formula

ax^+bx+c =0

a=1;b=8;c=12

so the quadratic equation is 1x^+8+12=0

soving quadratic equations

1x^+8x+12=0(by middle term splitting method)

firstly multiply last term and first term that is 12×1x^=12x^

now when we factorise 12x^ by 6x ×2x we get 12x^ and when we add the multiples 6 and 2 we should get 8.So now the equation is 1x^+6x+2x+12=0

now take out common term

x( x+6)+ 2( x+6)=0

(x+2) (x+6)

x+2=0. x+6=0

x= -2 x= -6

So the zeores of polynomial is

-2. and -6

hope may help you ☺️

thank you