Question

Find the zeroes of the quadratic polynomial 2x2

– 7 x – 9 .​

Answer 1

Step-by-step explanation:

2x^2 -7x -9

first multiply constant term with x^2 term

-9*2x^2

-18x^2

now take factors for -18x^2

2x and -9x

[because when we multiply the factors we have to get -18x^2

and when we solve we have to get x term which is -7x

so factors satisfied the both conditions

as 2x*-9x =18x^2

and 2x-9x= -7x ]

now the equation can be written as

2x^2 +2x -9x -9=0

2x (x +1) -9(x+1) =0

x+1 =0, 2x-9=0

x= -1 and 2x=9

x=9/2

so zeroes of the given polynomial are -1 and 9/2