Question

Write a quadratic polynomial, sum of whose zeroes is 1 and product is -12​

Answer 1

Answer:

Step-by-step explanation:

let the no.s be x and y

x + y = 1

x=1-y

xy = -12

(1-y)y = -12

y-y^2 = -12

y^2-y-12=0

y^2 - 4y + 3y -12 = 0

(y+3) (y-4) = 0

y= -3 y= 4

x=4 x=-3

Answer 2

x² - 1 x - 12 = 0

Step-by-step explanation:

sum of roots

$(\alpha + \beta )$

= 1

product of roots

$( \alpha \beta )$

= -12

quadratic equation :

x² - ( alpha + beta) x + alpha × beta = 0

x² - ( 1 ) x + (-12) = 0

x² - 1 x - 12 = 0