Question

p(x) = ax² + bx + c one zero is 1 then other zero is

Answer 1

Answer:

other zero = c/a

Step-by-step explanation:

p(x) = ax² + bx + c

=> one of the zeroes = 1

=> let the other zero be "k"

We should know the relation between zeroes and coefficients.

» Sum of zeroes = -x coefficient/x² coefficient

α+β = -x coefficient/x² coefficient  

» Product of zeroes = constant/x² coefficient

αβ = constant/x² coefficient

=> product of zeroes = (1)(k) = c/a

                                          k = c/a

the other zero = c/a

also refer :

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