Question

Find the quadratic polynomual whose zeroes are in ratio 2:3 and their sum is 15​

Answer 1

Answer:

x^2 +15x +54

Step-by-step explanation:

FIRST LETS FIND THE VALUE OF ZEROS

LET THE ZEROS BE x

2x + 3x= 15

5x=15

x=3

The zeros are 2x=2*3=6 and  3x=3*3=9

Now to find the quadratic equation we will use the formula

x^2 + (sum of zeros)x +product of zeros

x^2 + (15)x + 9 * 6

x^2 +15x +54 is your equation

Answer 2

Hey

$let \: x \: be \: the \: common \: multiple \: of \: both \: the \: zero \\ \\ the \: zeros \: would \: be \: 2x \: and \: 3x \\ \\ given \: that \: \\ \\ sum \: of \: zeros \: = 15 \\ = > 2x + 3x = 15 \\ = > x = 3 \\ \\ the \: zeros \: would \: be \: 6 \: and \: 9 \\ \\ now \\ product \: of \: zeros \: = 9 \times 6 = 54 \\ \\ required \: polynomial \\ x {}^{2} - 15x + 54$

I hope it helps you!!!!