13. Write a quadratic polynomial, the sum and product of whose zeroes are 3 and -2.
14. If (x-2) is a factor of x-Bax +

13. Write a quadratic polynomial, the sum and product of whose zeroes are 3 and -2.
14. If (x-2) is a factor of x-Bax + 3a – 7, then find the value of a​

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  1. Answer:

    13.

    zeroes of the quadratic polynomial a and b,

    sum of the zeroes,

    a+b = 3

    product of the zeroes,

    ab = -2

    quadratic polynomial is in the form of,

    x²-(a+b)x+ab = 0

    x²-3x-2 = 0

    14.

    x-2 is a factor of polynomial x-8ax + 3a – 7 ,

    f(x) = x-ax + 3a – 7

    f(2) = 2-a(2)+3a -7 = 0

    2-2a+3a-7 = 0

    a = 5

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