Question

the quadratic polynomial the sum and product of whose zeros are 4 and -2 is​

Answer 1

Answer:

given,

sum = 4

and product = - 2

so,

required quadratic polynomial

= x² - ( sum) x + product

= x² - 4x - 2.

Answer 2

Answer:

x^2 - 4x - 2 = 0

Step-by-step explanation:

alpha + beta =4

alpha × beta =(-2)

So, the quadratic polynomial is-----

x

${x }^{2} - (sum \: of \: roots)x + (product \: of \: roots) = 0$

So the answer is :------

x^2 - (alpha + beta)x + (alpha × beta) = 0

=x^2 - 4x + (-2) = 0

=x^2 - 4x -2 = 0

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