Question

sum of the numbers is -9 and product is 14 . write the quadratic pol
inomial and it's factors​

Answer 1

Answer:

Quadratic polynomial : a^2 -9a +14

Factors : (a-7) (a-2) i.e. -7 and -2

Step-by-step explanation:

+14

product of / \

-7 -2

sum of \ /

-9

I hope this answer helps you.

Answer 2

Answer:

we know that

$if \: roots \: are \: \alpha \: and \: \beta \: then \: quadratic \: polynomial \: is \\ {x}^{2} - ( \alpha + \beta )x + \alpha \beta = \\ {x}^{2} - ( - 9)x + 14 = \\ {x}^{2} + 9x + 14 = \\ {x}^{2} + 7x + 2x + 14 = \\ x(x + 7) + 2(x + 7) = \\ (x + 7)(x + 2)$