Question

14. The remainder when (kx2 + x + 1)is divided by (x+2k) is
a)-2k-1
b) k-1
c) (4k3 + 2k)
d) (43 - 2k +
1)​

Answer 1

Answer:

The Remainder is d ) 4k³ -2k + 1

Step-by-step explanation:

let p(x) = kx² + x + 1  

given, (x+2k) is dividing p(x)

=> the remainder is p(-2k)              

                    (  by remainder, theorem and x+2k = 0 => x = -2k )

=> k(-2k)² -2k + 1  

=> k(4k²) -2k + 1

=> 4k³ -2k + 1