Question

Find the zero of the polynomial (5x-9) (4x-2) (6x+9)

Answer 1

Refer to the above attachment

Answer 2

Answer is as follows : -

What is zero of a polynomial?
- A zero of a polynomial is such value of all variables in that polynomial which makes the value of the expression zero.
Example : - zero of x + 3 is -3 ans (-3)+(3)=0

Now coming back to our question:-

Given polynomial => (5x-9)(4x-2)(6x+9)

We can clearly see that this is the factories form of the polynomial.

And we know if any factor of a polynomial is zero then the whole expression's value is zero.

Here , three cases are possible for which we can make the whole expression equal to zero.

1st zero =>

Let 5x - 9 = 0

5x = 9

x = 9/5

2nd zero=>

Let 4x-2 be equal to zero.

4x-2=0

4x=2

x=1/2

3rd zero:-

Let 6x+9 be equal to zero.

6x + 9 = 0

6x = -9

6x = (-3)/2