Question

Find the value of k if (x-1) is a factor of 4xpover3+3xpover22-4x+k.​

Answer 1

If x-1 is the factor of the cubic$4 x^{3} +3 x^{2}$

−4x+k then x=1 is the root of the equation so it satisfies the given equation means if we substitute 1 in place of x in the given cubic then the value of the expression becomes 0

so

$4. 1^{3} +3. 1^{2} -4.1+k=0 = 4+3-4+k=0 =k=-34.1$