Question

find a quadratic polynomial , the sum and product of whose zeroes are -3 and 2 respectively​

Answer 1

$\huge\underline\bold\red{Answer}$

Given :-

• sum and product of a Quadratic polynomial as -3 and 2 respectively.

To Find :-

• The quadratic polynomial

Formula of quadratic polynomial is

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

x² - (-3) x + (2)

= = > x² + 3x + 2

Answer 2

Given:-

• The sum of the zeros = -3.
• The product of the zeros = 2.

To Find :-

• The quadratic polynomial.

Solution:-

We know that,

Formula for quadratic polynomial

$\tt{{x}^{2} + (sum \: of \: the \: zeros )x + product \: of \: the \: zeros}$

$\tt{\implies {x}^{2} + ( - 3)x + 2 }$

$\tt{\implies {x}^{2} - 3x + 2 }$

Hence, the required quadratic polynomial

$\tt{{x}^{2} - 3x + 2}$

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