Question

find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. (I) x²+2x+3 ​

Answer 1

Answer:

We have x2+2x +3

x2+3x+(-x+3)

x2+3x-x+3

x(x+3)-1(x+3)

(x-1)(x+3)

x=1andx=(-3)

So,the zeroes are 1 and -3

Relationships between the zeroes and the Coefficient

Sum of the zeroes =(-b÷a)

(a+b)

1+-3 =(-2÷1)

=-2 =-2

Product of Zeroes =Constant term÷Coefficientofx2

ab

1×-3 = -3÷1

=-3. =-3

Thus,the relationships between the zeroes and the coefficient of the polynomial x2+2x+3 is verified

Step-by-step explanation:

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