Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form?

6x^3 + 4x^2 − 6x − 4 = 2(x + k)(x − k)(3x + 2)

k=

numerical answers expected!

Value of k is 1      

Step-by-step explanation:

Given the polynomial

we have to find the value of k in factored form

Compare above with given factored form, we get

k=1

Hence, value of k is 1

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: