Question

find a quadratic polynomial each with the given numbers as the sum and product respectively.

Answer 1

Answer:

( i )

$\alpha + \beta = - b \div a = 2 \div 3$

let , a = 1

-b = -2/3

so , b = -2/3

$\alpha \beta = c \div a = - 4$

as , a = 1

so , c = -4

polynomial : ax^2 + bx + c

substituting the values we get ,

x^2 - 2/3 x - 4

multiplying all by 3

3x^2 - 2x - 12 = 0

so this is our required polynomial.

hope this helps

likewise solve for all

thank you