Question

If m and n are the zeros of a quadratic polynomial such that m + n = 24 and m – n = 8, then find a polynomial whose zeroes are 2m and 2n.

Answer 1

Step-by-step explanation:

First let us find the values of m and n

m+n= 24. ------(1)

m-n=8 ------(2)

adding equation (1) and (2)

we get,

m= 16 and n= 8

now we have to find the equation whose roots are 2m and 2n i.e 32 ,16 respectively.

we know that if a and b are roots of a equation then the equation is

x² -(a+b)x +ab=0

so our equation will be

x² -(32+16)x +32×16=0

x²-48x + 512=0