Question : The factors of $ x^4+x^2+25$ are:

Option 1:  $\left(x^2+3 x-5\right)\left(x^2-3 x+5\right)$

Option 2: $\left(x^2+3 x+5\right)\left(x^2-3 x+5\right)$

Option 3: $\left(x^2-3 x+5\right)\left(x^2-3 x+5\right)$

Option 4: $\left(x^2+3 x+5\right)\left(x^2+3 x+5\right)$

Question : What is the LCM of $\left(8 x^3+80 x^2+200 x\right)$ and $\left(4 x^4+16 x^3-20 x^2\right)$?

Option 1: $8 x^2(x+5)^2(x-1)$

Option 2: $8 x^2(x-1)^2(x+5)$

Option 3: $4 x^2(x-1)^2(x+5)$

Option 4: $4 x^2(x+5)^2(x-1)$

Question : The LCM of $x^2-8x + 15$ and $x^2-5x + 6$ is:

Option 1: $(x-2)(x-3)^2(x-5)$

Option 2: $(x + 5) (x + 2) (x + 3)$

Option 3: $(x + 5) (x - 2) (x - 3)$

Option 4: $(x - 5) (x - 2) (x - 3)$

Question : An example of an equality relation of two expressions in $x$. Which is not an identity, is:

Option 1: $(x+3)^{2}=x^{2}+6x+9$

Option 2: $(x+2y)^{3}=x^{3}+8y^{3}+6xy(x+2y)$

Option 3: $(x+2)^{2}=x^{2}+2x+4$

Option 4: $(x+3)(x–3)=x^{2}–9$

Question : The simplified form of $(x+3)^2+(x-1)^2$ is:

Option 1: $(x^2+2x+5)$

Option 2: $2(x^2+2x+5)$

Option 3: $(x^2-2x+5)$

Option 4: $2(x^2-2x+5)$