Question

12. The value of k, if (x - 1) is a factor of 4x^3 + 3x² - 4x + k, is
(a) 1 (6) 2 (c) -3 (d) 3​

Answer 1

Answer:

k = -3

Step-by-step explanation:

p(X) = 4x^3 +3x^2 -4x +k

(x-1) = 0

x = 1

so,

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

= 4 + 3 -4 +k

= 3 + k

so,

3 + k = 0

k = -3.

hope this helps u ❤❤

Answer 2

Answer:

-3

Step-by-step explanation:

p(x)=4x^3+3x^2-4x+k

p(1)=4×(1)^3+3×(1)^2-4×1+k

p(1)=4×1+3×1-4+k

p(1)=4+3-4+k

p(1)=4-4+3+k

p(1)=0+3+k

p(1)=k=-3