Question

2. Write a quadratic polynomial, sum of whose zeroes is 2 and product is – 9.​

Answer 1

Answer:

x^2-2x-9

Step-by-step explanation:

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Answer 2

${\boxed{\boxed{\red{\mathcal{CORRECT\:QUESTION:}}}}}$

• Write a quadratic polynomial, sum of whose zeroes is 2 and product is -8.

${\boxed{\boxed{\red{\mathcal{ANSWER:}}}}}$

• Quadratic polynomial = x² - 2x - 16.

Given:

• Sum of zeroes = 2
• Product of zeroes = -8

To Find:

• Write Quadratic polynomial.

${\boxed{\boxed{\red{\mathcal{SOLUTION:}}}}}$

Let two zeroes of Quadratic polynomial be 'a' and 'b'.

$\implies$ a + b = 2

$\implies$ a × b = -8

Now, quadratic polynomial are:

$\implies$ x² - (a + b)x + ab

$\implies$ x² - 2x + (2)(-8)

$\implies$ x² - 2x - 16

Hence, Quadratic polynomial = x² - 2x - 16.