Question

Find the value of k , if x-1 is a factor of 4x³+3x²-4x+k​

Answer 1

Answer:

p(x)=4x³+3x²-4x+k=0

(x-1) is a factor of p(x)

x = 1

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

=4+3-4+k=0

=. k = -3

Answer 2

let 4x^3+3x^2-4x + k=0 be as P(x).

if (x-1) is a factor then 1 is the zero of the p(x).

because,, (x-1)=0

==> x= 1.

NOW,

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

4 + 3 - 4 + k =0

[ Here, 4 and -4 gets cancelled due to opp. signs]

Hence we obtain 3+ k =0

Value of k ==> 0- 3

= -3.

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