Question

if one of the zero of the polynomial x^2+a is -3 then find its other for 10th class​

Answer 1

$\huge{ \bf{ \red{question}}}$

If one of the zero of the polynomial x^2+a is -3 then find it's other.

$\huge{ \bf { \red{solution}}}$

If -3 is a zero of x^2+a then putting x=-3 polynomial should equate with zero.

such that

(-3) ^2 + a = 0

9 + a = 0

$\boxed{ \bf{a = - 9}}$

so,

we have the given polynomial now as

x^2 - 9

factorising the quadratic polynomial

x ^2 - 9 = 0

x^2 = 9

x = √9

so,

$\bf \: x = 3 \: or \: x = - 3$

-3 is the given the zero

therefore other zero of the polynomial is 3.