Question

find the sum and product of the zeroes of the given polynomial 3x²-7x+6;.
8x²-9
x²+12x+36
5x²-7x+9
2x²- 7x-8​

Answer 1

Step-by-step explanation:

To Find -

A polynomial whose zeroes is 1/a and 1/3

Now,

3x² - 7x-6

>> 3x² + 2x - 9x - 6

>> x(3x + 2) - 3(3x + 2)

>> (x - 3)(3x + 2)

Zeroes are -

x - 3= 0 and 3x + 2 = 0

• x = 3 and x = -2/3

Now,

Let a = 3 and ß = -2/3

Then,

1/a = 1/3

and

1/3=1-2/3 = -3/2

Sum of zeroes :

1/3 + (-3/2)

>> 1/3 - 3/2

Let a = 3 and ß = -2/3

Then,

1/a = 1/3

and

1/3=1-2/3 = -3/2

Sum of zeroes :

1/3 + (-3/2)

>> 1/3 - 3/2

>> 2 - 9/6

»> -7/6

And

Product of zeroes :

1/3 × -3/2

• »> -1/2

For a Quadratic polynomial :

x² - (sum of zeroes)x+ product of zeroes

» x² - (-7/6)x + (-1/2)

» x² + 7/6x - 1/2

Hence,

The polynomial is x² + 7/6x - 1/2

Answer 2

hope it will help you mate ☺️☺️☺️☺️