Question

Find the quadratic polynomial whose zeros are in the ration 2:3 and their sum is 15.​

Answer 1

Step-by-step explanation:

let the zeroes be 2x and 3x

then acc to ques

2x + 3x = 15

5x= 15

X = 3

hence the two zeroes are 6 and 9

product of zeroes = 54

sum of zeroes = 15

polynomial = x^2 - 15 X +54

Answer 2

Let the 2 nos. be 2x and 3x,

Therefore, 2x+3x=15

=>5x=15.

=>x=3.

Hence,the 2 nos.are 6(2×3) and 9(3×3)

So, a + b = 6+9 = 15

ab = 6×9=54.

Polynomial -> x²+(a+b)x+ab

->x²+15x+54.

Hope this answer helps.