Question

If one of the zeroes of a quadratic polynomial f(x)=3x^2 -20x+3p+4 is four times the other,find value of p

Answer 1

hey mate!

here is your answer:

let one zeroe be x then other zeroe will be 4x.

sum of zeroes =-b/a

x+4x=20/3

5x=20/3

x=20/15

x=4/3

now, product of the zeroes=c/a

x×4x=3p+4/3

4/3×4(4/3)=3p+4/3

4/3×16/3=3p+4/3

64/9=3p+4/3

64×3/9=3p+4

64/3=3p+4

64/3-4=3p

64-12/3=3p

52/3=3p

52/3×3=p

p=52/9

hope it helped you ^_^