Question

Write a quadratic polynomial ,sum of whose zeroes is -3 & product is 2​

Answer 1

Answer:

Analysis→

Here the question conveys that we've to find a polynomial whose sum of zeroes is -3 and product of zeroes is 2. And we know that when the sum and product of zeroes is given, the polynomial is in the form p(x)=x²-sx+p; where p(x) is the polynomial, s is the sum of zeroes and p is the product of zeroes.

Given→

• Sum of zeroes =-3
• Product of zeroes =2

To Find→

The polynomial.

Answer→

$\large{\underline{\boxed{\leadsto{\rm{p(x)=x^2-sx+p}}}}}$

$\implies\rm{p(x)=x^2-sx+p}$

$\implies\rm{p(x)=x^2-(-3)x+(2)}$

$\implies\rm{p(x)=x^2+3x+2}$

${\boxed{\boxed{\implies{\bold{p(x)=x^2+3x+2\checkmark}}}}}$

☞ Hence the polynomial whose sum of zeroes is -3 and product of zeroes is 2 is x²+3x+2 which is the required answer.

HOPE IT HELPS.