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
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
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.