Question

If 4x square-1 divides 4x power 4-12xcube+kxsquare+3x-m exactly then find the value of k and m

Answer 1

Answer:

k=-1 m=0

Step-by-step explanation:

factories 4x^4 -12x^3

4x^2(x^2-3x) I have taken 4x^2 common in place of 4x^3 because I am trying to factories in which one of the factor is 4x^2-1 now kx^2 -3x-m

k should be -ve and should be 0 to attain x^2-3x as I took two terms at first to factories

4:-12=-1:3 (ratio of constants) in 4x^4&12x^3

let's take k as -1 as in -1x^2&3x -1:3 ratio of constants is there

-x^2+3x take -1 common -1(x^2-3x)

4x^2 (x^2-3x)-1(x^2-3x) add numbers outside the bracket so

factors=(4x^2-1)(x^2-3)

hope you have gotten it

if wrong,I apologize

please mark me the brainliest

i think it was complicated but i tested by putting my values and got it correct I am in class 7