Question

Find a quadratic equations whose zeros are -1 and 3 and verify the relationship between the zero's of the polynomial

Answer 1

Answer:

x2-2x-3

Step-by-step explanation:

use the formula:x2 +(a+b)x+ab

Answer 2

sum of zeroes = -1 + 3 = 2

product of zeroes = -1 ×3 = -3

equation K[x²- (sum of zeroes )x + (product of zeroes ) ]

K[x²- 2x -3 ]

which guves the equation as x²-2x-3

Here K is constant thats means k=1

realation between the zeroes :

sum of zeroes = 2 = -b/a = -(-2) = 2

product of zeroes =-3= c/a = -3/1 = -3

VERIFIED

hope it helpful