Question

Find the quadritic polynomial the sum of -10 &product _39

Answer 1

Question:

Find the quadratic polynomial the sum is -10 & product is 39.

To find:

★ To find the quadratic equation.

Answer:

$The \: equation \: is \: \underline{ \: \underline{ \: \sf \pink{ {x}^{2} + 10x + 39 = 0} \: }\: }$

Given:

$\bigstar Sum \: of \: roots = - 10$

$\bigstar Product \: of \: roots = 39$

Step-by-step explanation:

Equation is formed by,

$\boxed{{x}^{2} - x(Sum \: of \: roots) + Product\: of \: roots = 0}$

$\implies {x}^{2} - x( - 10) + 39 = 0$

$\implies \boxed{ {x}^{2} + 10x + 39 = 0}$

$\therefore The \: equation \: is \: \underline{ \: \bold{ {x}^{2} + 10x + 39 = 0} \: }$