Question

Find the value of k if x+1 is a factor of (x)=3x²+2x+k

Answer 1

Answer:

k = -1

Step-by-step explanation:

(x+1) is a factor.

=> x+1 = 0

x = -1

Given polynomial,

$p(x) = 3 {x}^{2} + 2x + k$

p(-1) = 0

$3( - 1)^{2} + 2( - 1) + k = 0 \\ 3(1) - 2 + k = 0 \\ 3 - 2 + k = 0 \\ 1 + k = 0 \\ k = - 1$

Answer 2

x+1 is a factor

x+1=0

x= -1

Put x= -1 in 3x^2+2x+k

3-2+k=0

1+k =0

k= -1