Question

Find the value of c so that the polynomial p is divisible by (x+2)

Answer 1

Answer:

The value of c is 8.

Step-by-step explanation:

When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :

$p(x) = 4 {x}^{3} + c {x}^{2} + x + 2$

$p( - 2) = 4 {( - 2)}^{3} + c {( - 2)}^{2} + ( - 2) + 2$

$4( - 8) + 4c - 2 + 2 = 0$

$- 32 + 4c = 0$

$4c = 32$

$c = 32 \div 4$

$c = 8$