Question

Find the value of k if (x-1) is a factor of 4x³+ 3x-² - 4x+k​

Answer 1

Step-by-step explanation:

x-1

x-1=0

x=1

p(x)=4X^3+3X^2-4X+K=0

P(1)=4(1)^3+3(1)^2-4(1)+K=0

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

=4+3-4+k=0

3+k=0

k=-3

Answer 2

QUESTION:-

Find the value of k if (x-1) is a factor of 4x³+ 3x-² - 4x+k​ ?

GIVEN:-

(x-1) IS FACTOR OF 4x³+ 3x-² - 4x+k​

EXPLANATION:-

LET P(x)=4x³+ 3x-² - 4x+k​

factor=x-1  so x-1=0

x=1

BY REMAINDER THEOREM

p(1)= 0      (as x-1 is factor of p(x)

p(1)=4(1)³+ 3(1)-² - 4(1)+k​

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

p(1)=3+k

PUTTING P(1)=0

0=3+K

-3=K

K=-3

SO THE VALUE OF OF K IS -3