Question

find the value of k, if (x-1) is a factor of 4x³+3x²-4x+k

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

By factor theorem,

(x-1) is a factor

i. e. x = 1 is a zero of p (x) = 4x^3+3x^2-4x +k

then p(x) =0

put x = 1

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

-----> 4 + 3 -4 +k=0

-----> k + 3= 0

-----> k = -3

ans