Question

find quadratic polynomial each with the two given zeroes as below. -1,7 and1/2,-3/7

Answer 1

Answer:

1) roots : -1,7  POLYNOMIAL: x^2 - 6x -7

2)roots: 1/2,-3/7 POLYNOMIAL : x^2 - x/14 -3/14

Step-by-step WE KNOW THAT,

               General equation of quadratic is : x^2 - (alpha+beta)x + alpha*beta

1) alpha(a) +beta(b) = -1 +7=6

    alpha(a) * beta(b) = -1 *7 = -7

    equation = x^2 -6x-7

2) a+b = 1/14

    a*b = 3/14

    equation = x^2 - x/14 - 3/14