Question

if (x+1) is factor of the polynomial x2 + 3x + k then k =?
a) 2
b) -2
c)-4
d)-4​

Answer 1

Answer:

p(x)=x2 + 3x + k

(x+1) is factor of the polynomial x2 + 3x + k

(x-1)=0

x = 1

p(1)=(1)2 + 3(1) + k = 0

= 1+3+ k = 0

=. k = -4

hope it helps you

Answer 2

✯✯ QUESTION ✯✯

If (x+1) is factor of the polynomial x2 + 3x + k then k =?

a) 2

b) -2

c)-4

d)-4

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$⇢\textbf{x+1=0}$

➜Now,Putting x as 1..

$⇢{x}^{2}+3x+k=0$

$⇢{(1)}^{2}+3(1)+k=0$

$⇢1+3+k=0$

$⇢4+k=0$

$⇢k=0-4$

☛$\large{\boxed{\bold{\bold{\red{\sf{k=-4}}}}}}$

➜So,Option (c) i.e -4 is Correct..