Question

The sum of zeros = 2; the product of zeros = -3.Obtain a quadratic polynomial with the given condition.

Answer 1

sum of zeros = 2 .......(i)
products of zeros = -3 ........(ii)

we know,
quadratic equation is in the form of x² - (sum of zeros )x + product of zeros = 0.

put equations (i) and (ii),
x² - 2x - 3 = 0

hence, quadratic polynomial is x² - 2x - 3

Answer 2

Hi ,

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In general , if m and n are the zeroes

of the Quadratic Polynomial

p( x ) = x² - ( m + n )x + mn

= x² - ( sum of the zeroes )x + product

of the zeroes

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Here ,

Let m and n are the zeroes of the

polynomial p( x )

according to the problem given ,

Sum of the zeroes = m + n = 2 ,

Product of the zeroes = mn = -3

Therefore ,

Required Quadratic Polynomial

p( x ) = x² - ( m + n )x + mn

= x² - 2x - 3

I hope this helps you.

: )

p( x ) = x² -