Question

If x = 11, the value of x5 - 12x4 + 12x3 - 12x2 + 12x - 1 is

Answer 1

P(x)=$x^{5} -12 x^{4} +12 x^{3} -12 x^{2} +12x-1$
P(11)=161051-12(14641)+12(1331)-12(121)+12(11)-1
        =161051-175692+15972-1452+132-1
        =10

Answer 2

Answer:

$x^5-12x^4+12x^3-12x^2+12x-1=10$

Step-by-step explanation:

Given : Expression $x^5-12x^4+12x^3-12x^2+12x-1$

To find : The value of the expression when x=11?

Solution :    

We can re-write the expression as

$x^5-12x^4+12x^3-12x^2+12x-1$

$=x^5-(11+1)x^4+(11+1)x^3-(11+1)x^2+(11+1)x-1$

$=x^5-11x^4-x^4+11x^3+x^3-11x^2-x^2+11x+x-1$

Now, Substitute x=11,

$=x^5-11(11)^4-(11)^4+11(11)^3+(11)^3-11(11)^2-(11)^2+11(11)+11-1$

$=x^5-11^5-11^4+11^4+11^3-11^3-11^2+11^2+11-1$

Cancel the like terms,

$=11-1$

$=10$

Therefore,  $x^5-12x^4+12x^3-12x^2+12x-1=10$, If x=11.