Mathematics: Which expression is a linear factor of x ^6 + x - 66? x + 1 x + 2 x + 4 none of the above

Step-by-step explanation:Ngl the way they put the question is kinda confusing but pretty sure its multiple triangles...Hope that helped!!!...

Which expression is a linear factor of x ^6 + - id663913917, gerardoleal1414

decapria

10.01.2022

None of the above

Step-by-step explanation:

We are given that an expression

x^6+x-66

We have to find which expression is a linear factor of given expression.

1. x+1

x+1=0

x=-1

Factor theorem: if x+a is factor of polynomial P(x) then

P(a)=0=Remainder .

If p(a)=0 then x+a is a factor of p(x)

By factor theorem

$(-1)^6-1-66=-66\neq 0$

Hence, x+1 is not a linear factor of given expression.

2. x+2

x=-2

By factor theorem

$(-2)^6-2-66=64-2-66-4\neq 0$

Hence, x+2 is not a linear factor of given expression.

3.x+4

x=-4

By factor theorem

$(-4)^6-4-66=4096-4-66=4026\neq$

Hence, x+4 is not a linear factor of given expression.

None of the above

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