Question

write a quadratic polynomial,the sum and product of whose zeroes are 3 and -2 respectively.​

Answer 1

Answer:

x^2-3x-2.

Step-by-step explanation:

To find a polynomial,

we use, p(x)= x^2-(a+b)+ab.

since, a+b=3 and ab= -2.

Thus, required polynomial is x^2-3x-2.

Answer 2

Answer:

The sum of the zeroes= - b/a = 3

alpa + beta = -b/a

3= -( -3)/1

3= 3

The product of zeroes = c/a

alpa(beta) = c/a

-2 = -2/1

-2 = -2

a = 1 , b= -3 ,c= -2

ax² + bx + c = 0

x² - 3x -2 = 0

I hope it will help you mate!