SOLUTION: If the zeroes of the quadratic polynomials x^2+(a+1)x+b are 2 and -3,then find the values of a and b

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Question 1075464: If the zeroes of the quadratic polynomials x^2+(a+1)x+b are 2 and -3,then find the values of a and b


Answer by ikleyn(52803) About Me  (Show Source):
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If the zeroes of the quadratic highlight%28cross%28polynomials%29%29 polynomial x^2+(a+1)x+b are 2 and -3,then find the values of a and b
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Use the Vieta's theorem" 

    The sum of roots of a quadratic polynomial is equal to the coefficient at x with the opposite sign;
    The product of the roots is equal to the constant term.


In your case it gives b = 2*(-3) = -6.

a+1 = -(2 + (-3)) = -(-1) = 1; hence, a = 0.

Answer. a = 0; b = -6.