Q.8 A quadratic polynomial with 3 and 2 as the sum and product of its

1.	Q.8 A quadratic polynomial with 3 and 2 as the sum and product of its zeros respectively is
Answer» $\bf\huge\blue{\underline{\underline{ Question : }}}$ A QUADRATIC POLYNOMIAL with 3 and 2 as the sum and product of its zeros respectively is. $\bf\huge\blue{\underline{\underline{ Solution : }}}$ ★ Given that, Sum and Product of zeroes of a Quadratic Polynomial are 3 and 2. ★ To FIND, Quadratic Polynomial. ★ Let, $\tt\:\rightarrow Sum\:of\:the\:zeroes : \alpha + \beta = -\cfrac{b}{a}$ $\tt\:\rightarrow Product\:of\:the\:zeroes : \alpha \beta = \cfrac{c}{a}$ ★ Now, The form of a Quadratic Polynomial is : $\orange{\bigstar}\boxed{\rm{\red{ x^{2} -(\alpha + \beta)x +\alpha\beta = 0 }}} \orange{\bigstar}$ Substitute the zeroes. $\sf\:\implies x^{2} - (3)x + 2 = 0$ $\sf\:\implies x^{2} - 3x + 2 = 0$ $\underline{\boxed{\rm{\purple{\therefore Hence,\:the\:Quadratic\:Polynomial\:is\:x^{2}-3x+2=0.}}}}\:\orange{\bigstar}$