SOLUTION: factor by grouping {{{ x^8 + x^4 + x^4 + 1 }}} Thank you

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor by grouping {{{ x^8 + x^4 + x^4 + 1 }}} Thank you      Log On


   

Question 332115: factor by grouping
+x%5E8+%2B+x%5E4+%2B+x%5E4+%2B+1+
Thank you
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Starting with:
+x%5E8+%2B+x%5E4+%2B+x%5E4+%2B+1+
.
Group terms:
+%28x%5E8+%2B+x%5E4%29+%2B+%28x%5E4+%2B+1%29+
Factoring the left term:
+x%5E4%28x%5E4+%2B+1%29+%2B+%28x%5E4+%2B+1%29+
Factoring out the "common term":
+%28x%5E4+%2B+1%29%28x%5E4+%2B+1%29+
+%28x%5E4+%2B+1%29%5E2+