Question

A quadratic polynomial if sum and product of zeros as 8 and -9 is

Answer 1

Answer:

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Answer 2

Given:

• The sum of zeroes of a quadratic polynomial is 8
• And the product of zeroes of a quadratic polynomial is (-9)

To find:

• The quadratic polynomial

We use,

$\boxed{\bf k[x^{2}-(sum\ of\ zeroes)x + product\ of\ zeroes]}$

Here, k is a constant.

Now,

= k [ x² - (8)x + (-9) ]

= k [ x² - 8x - 9 ]

Taking k = 1

Hence,

The required quadratic polynomial is x² - 8x - 9

More Information:

• Quadratic polynomial - The polynomial having highest degree 2.
• Standard form = ax² + bx + c = 0
• When two zeroes would be given in the question first find the sum of zeroes and product of zeroes and get the required polynomial.