Question

find the quadratic polynomial, whose zeroes are in the ratio 2:3 and their sum is 15​

Answer 1

Answer:

2x+3y=2²×2+3²×1

= 4+2+9

= 15

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Answer 2

Answer: x^2-15x+54

Step-by-step explanation:

2x+3x=15

5x=15

x=3

Sub x=3

We get our zeros as 6 and 9

alph plus beta equals to 15

alpha beta equals to 54

So our polynomial is

x^2-(sum of alpha and beta)x+(product of alpha beta)

=x^2-15x+54

Hence we got our polynomial