Question

product is 1.
17. Find the quadratic polynomial whose zeros are 2 and 6. Verify the
relation between the coefficients and the zeros of the polynomial.​

Answer 1

Answer:

sum of zeros=2+6=8

product of zeros=2×6=12

we know that each polynomial is of the form

k(x²-(sum of zeros)x+product of zeros)

k(x²-8x+12)

let k be 1

1(x²-8x+12)

x²-8x+12 is the required polynomial

we know that sum of zero= -b/a

-8=-8/1

-8=-8

therefore

sum of zeros=-cofficiant of x/cofficiant of x²

we also know that

product of zero=c/a

12=12/1

12=12

therefore

product of zero=constant term/cofficiant of x²

hope it helps you

please mark me brainlist

thanks my every answer yrr

mere thanks bhut kam h