Factor x3 + x2 + x + 1 by grouping. What is the resulting expression? (x2)(x + 1) (x2 + 1)(x) (x2 + 1)(x + 1) (x3 + 1)(x + 1)
Answer :\((x^2 + 1)( x + 1)\)
Factor \(x^3 + x^2 + x + 1\) by grouping
We group first two terms and last two terms
\((x^3 + x^2)+( x + 1)\)
Now we take out GCF from each group
GCF of \((x^3 + x^2)\) is x^2
GCF of \(+( x + 1)\) is 1
\((x^3 + x^2) +( x + 1)\)
\(x^2(x + 1) +1( x + 1)\)
Now we factor out x+1 that is in common
\((x^2 + 1)( x + 1)\)
Answer:
(C) (x^2 + 1)(x + 1)
Step-by-step explanation:
edge 2022