Question

what is the positive value of m, for which the zeros of the quadratic polynomial 4x^2+mx+24 are in the ratio 3:2 ?​

Answer 1

8

In the given polynomial, 4x

2

−mx+1

a=4,b=−m,c=1

Relationship between zeroes and coefficient of the polynomial:

Sum of the zeroes =

Coefficient of x

2

Coefficient of x

=

a

−b

2=

4

−(−m)

2×4=m

∴m=8