Question

Find quadratic polynomial the sum and product of whose zero are 6 and -10 respectively​

Answer 1

☯GIVEN :

• $\alpha + \beta =6$

• $\alpha \beta = -10$

☯TO FIND :

• Quadratic Polynomial.

☯FORMULA REQUIRED :

• $\underline{\boxed{\pink{\bf{x^2- \left(\alpha + \beta\right)x + \alpha\beta =0 }}}}$

➲SOLUTION :

• By substituting the given values, $\bf{\alpha + \beta =6}$ and $\bf{\alpha \beta = -10}$

$:\implies {\sf x^2 - \left(\alpha + \beta \right)x + \alpha \beta = 0}$

$:\implies {\sf x^2- (6)x+(-10)=0 }$

$\leadsto{ \underline { \boxed{ \blue{\bf{ x^2 -6x - 10 = 0}}}}}$

$\huge{\purple{\therefore}}$ Quadratic Polynomial = $\bf{ x^2 -6x -10}$