Question

For what value of k , -2 is a zero of the polynomial 2x^2 + 4x + k​

Answer 1

AnsWer :

k = 0.

SolutioN :

We have, polynomial.

→ 2x² + 4x + k.

• One its zero is ( - 2 )

→ 2x² + 4x + k.

→ 2( - 2 )² + 4( -2 ) + k.

→ 8 - 8 + k.

→ 0 + k.

According to Condition.

→ k = 0.

Therefore, For 0 value of k , -2 is a zero of the polynomial.

$\rule{90}2$

Some Information :

Polynomial.

ax² + bx + c.

Quadratic Equation.

ax² + bx + c = 0.

Answer 2

$\sf{\underline{\underline{\blue{Question:-}}}}$

For what value of k , -2 is a zero of the polynomial 2x^2 + 4x + k

$\sf{\underline{\underline{\blue{Given:-}}}}$

• $\sf 2x^2+4x+k$
• - 2 is a zero of polynomial.

$\sf{\underline{\underline{\blue{To\:Find:-}}}}$

• what value of k , -2 is a zero of polynomial.

$\sf{\underline{\underline{\blue{According\:To\:Question:-}}}}$

• putting -2 in given polynomial.

$\sf→ 2x^2+4x+k\\\sf→ 2(-2)^2+4(-2)+k\\\sf→ 2×8-8+k\\\sf→ 8-8+k\\\sf→ 0+k\\\sf{\fbox{\underline{\red{k=0}}}}$

$\sf{\underline{\underline{\blue{Hence:-}}}}$

• When k= 0 then -2 is a zero of the given polynomial.