Question

If sum of the zero's of quadratic polynomial is 12 and product 35 then the polynomial is *

1 point

X²-12x-35

X²-35x+12

X²-12x+35

4X²-12x-35

​

Answer 1

let 1st zero=

$\alpha$

let second zero =

$\beta$

sum of zeroes = 12

$\alpha + \beta = 12$

product of zeros = 35

$\alpha \times \beta = 35$

$\alpha + \beta = - b \div \: a$

-b/a=12......(1)

$\alpha \times \beta = c \div a$

c/a=35 .....(2)

from equation 1 and 2 ... we get that a=1

therefore,

-b=12

b=-12

c=35

on applying the values of a, b and c on quadratic formula we get....

${x}^{2} - 12x + 35$

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