Question

If product of the zeroes of the polynomial kx^2 + 41 + 42 is 7, then find the zeroes of the polynomial (k-4)x^2 +(k+1)x+5.

Answer 1

Let 4α and β are the zeroes of the given polynomial ax2−6x−6We know thatProduct of zeroes, α×β=constant termcoefficient of x2=−6a⇒α×β=−6a ...(1)but it is given that Product of zeroes, α×β=4⇒4=−6a⇒a=−64⇒a=−32thus, the value of a is −32.