Question

3. If (2x + 1) is a factor of the polynomial (3k + 2)x3 + (k-1), find the value of k.

(1) 4 (2) -4 (3) - 2 (4) 2



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Answer 1

Answer:

k=2

Step-by-step explanation:

Given polynomial, p (x)= (3k+2)x3 +(k+1)

Since 2x+1 is a factor of p (x),

therefore x= -1/2 is a zero of p (x)

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

(3k+1)( -1/8) +(k+1)=0

-3k -2 +8k -8=0

5k - 10= 0

k= 10/5

k=2