if -2 and 3 are the zeroes of the polynomial ax2+bx-6 then find the value of a and b​

if -2 and 3 are the zeroes of the polynomial ax2+bx-6 then find the value of a and b​

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  1. Step-by-step explanation:

    Given:-

    polynomial. f(x)= ax^2+bx-6

    zeroes are -2 and 3

    value of a and b=?

    solution:-

    f(-2)=4a-2b-6=0

    4a-2b=6. (1)

    f(3)=9a+3b-6=0

    9a+3b=6. (2)

    solving (1) and (2)

    3*(1)+2*(2)

    12a-6b=18

    +18a+6b=12

    a= 1

    b= -1

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