Remainders and Factors Theorem-MATH101 Find the value of the constant K if the remainder is 22, when the expression is 3x³ + kx² - 4x + 6 is divided by x-4 Quiz Forum 6/4/2020 Unifiedcamp 1 Answer(s) 845 views

## Answers ( 1 )

## By: Rid007

3x³+kx²_4x+6 divided by x_4 gives remainder of 22

Solution:

Let f(x) =3x³ + kx² _ 4x +6

X_4=0

X=4

F(4)= 192 + 16k _16 + 6=22

= 182 + 16k = 22

182_ 22= _16k

160 = _16k. Divide both sides by _16

K= _10.