Question

find the quadratic polynomial whose sum and product of the zeros are 5 and-6​

Answer 1

Answer:

p(x)= x²-5x-6

Step-by-step explanation:

alpha+beta = 5

alpha*beta= -6

p(x)= k[x²-(alpha+beta)x + (alpha*beta)]

=> k[x²-(5)x + (-6)]

=> k[x² -5x -6]

to cancel out k take k=1

=> 1[x²-5x-6]

p(x) = x²-5x-6