Question

Find the quadratic polynomial, the sum and product of whose zeroes are 6 and 9 respectively. Hence find the zeroes.

Answer 1

Answer:

Sum of zeroes [a +b] = 6

Step-by-step explanation:

Product of zeroes [a+b] =9

Answer 2

The zeroes of the polynomial are 3 and 3.

$x^2 - 6x + 9 = 0$

Step-by-step explanation:

We are given the following in the question:

Let a, b be the zeroes of a polynomial f(x).

$a+b = 6\\ab = 9$

We have to find the polynomial.

The polynomial can be written as:

$x^2-(a+b)x + (ab) = 0\\x^2 - 6x + 9 = 0\\x^2 -3x-3x+9= 0\\x(x-3)-3(x-3) = 0\\(x-3)^2 = 0\\(x-3) = 0, (x-3) = 0\\x=3, x=3$

Thus, the zeroes of the polynomial are 3 and 3.

#LearnMore

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