Question

write the quadratic equation if the zeroes are alpha, beta and find the sum and product of zeroes of x^2-6x+9=0.
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Answer 1

Answer:

In the given polynomial x

2

−6x+9,

The first term is x

2

and its coefficient is 1.

The middle term is −6x and its coefficient is −6.

The last term is a constant term 9.

Multiply the coefficient of the first term by the constant 1×9=9.

We now find the factor of 9 whose sum equals the coefficient of the middle term, which is −6 and then factorize the polynomial x

2

−6x+9 as shown below:

x

2

−6x+9

=x

2

−3x−3x+9

=x(x−3)−3(x−3)

=(x−3)(x−3)

Therefore, x

2

−6x+9=(x−3)(x−3).

so the zero of the polynomial is 3.

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Answer 2

Answer:

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