form a quadratic polinomial whose one zero is 8 and the product of the zeroes is -56
Let a and b be the zeros of the said quadratic polynomial.
Given, a = 8
Now, product of zeros = a × b = -56
⇒ 8 × b = -56
⇒ b = -7
Now, sum of zeros = a + b = 8 + (-7) = 1
So, the required polynomial = k(x2 - (sum of zeros)x + (product of zeros)) where k is a constant
= k(x2 - 1x -56)