Question

Find the quadratic polynomial whose sum and products of the zeros are 5 and -6​

Answer 1

Answer:

x² + x - 30

Step-by-step explanation:

let the two zeros be a and b

                    such that a=5 and b=-6

so, a+b= 5+ (-6)= -1

and, ab= 5*(-6)= -30

required polynomial = x² - (a+b)x + ab

                                  = x² - (-1)x + (-30)

                                  = x² + x - 30

Answer 2

Answer:

x²+5x-6=0

Step-by-step explanation:

Given,

a+b=5

ab=-6

Required quadratic equation=x²+(a+b)x+(ab)

=x²+(5)x+(-6)

=x²+5x-6