Question

if -1 and -3/2 are zeroes find the quaratic

Answer 1

Answer:

2×^2+2×-3 is the required polynomial

Answer 2

$\boxed{ \huge{ \bf{ \red{Answer :}}}}$

Zeroes of the Quadratic Polynomial are -1 and -3/2.

Now, we know

$\sf\green{{Sum \: of \: the \: zeroes = - \frac{b}{a}}}$

$\sf{ \implies \: - 1 + ( - \frac{3}{2} ) = - \frac{b}{a}}$

$\sf{ \implies \: \frac{5}{2} = \frac{b}{a}}$

$\sf \green{Product \: of \: zeroes \: = \frac{c}{a} }$

$\implies \sf{ - 1 \times ( - \frac{3}{2} ) = \frac{c}{a} }$

$\sf{ \implies \: \frac{3}{2} = \frac{c}{a} }$

Hence, our required polynomial is :

$\boxed{ \sf \pink { {x}^{2} +\frac{5}{2} x + \frac{3}{2} }}$