Question

find the quadratic polynomial the sum of whose zeroes is -10 and product of its zeroes is -39.

Answer 1

Hey there!

If the sum of zeroes is represented by S and product of zeroes is represented by P the quadratic polynomial can be given as:

x^2-Sx+P

Thus the answer becomes x^2+10x-39

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Answer 2

Answer:

x^2 +10x - 39 is the answer :)

Step-by-step explanation:

quadratic polynomial is written in the form of :

x^2 - ( $\alpha$ + $\beta$ ) x + ( $\alpha \beta$ )

where , $\alpha$  and $\beta$ are zeros .

$\alpha +\beta = (-10)$

$\alpha \beta = (-39)$

now,

your equation is

x^2 - ( $\alpha$ + $\beta$ ) x + ( $\alpha \beta$ )

=>  x^2 - ( -10 ) x + (-39)

=>  x^2 +10x - 39

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