Question

HELP Find the value of K if (x-1) is a factor of   ${43x}^{3} + {3x}^{2} - 4x + k$​

Answer 1

Step-by-step explanation:

x - 1 is a factor of 4x^3 + 3x^2 -4x +k

then x=1 is one root of 4x^3 + 3x^2 -4x +k

put x= 1

4x^3 +3x^2 -4x +k = 0

=> 4 (1)^3 +3 (1)^2-4 (1) +k =0

=> 4 + 3 - 4 + k = 0

=> k = -3

Answer 2

Answer:

Since (x-1) is a factor of the following equation, P(1)=0 (Factor theorem)

43x³ + 3x² - 4x + k

P(1)=0

P(1)= 43×1³+3×1²-4×1+k= 0

43+3-4+k=0

46-4+k=0

42+k=0

k= -42

Note:- Bro upr wala ans wrong hai...