Factor the expression completely.
70, x, to the power 5 , plus, 100, x
70x
5
+100x
The expression is already factored completely and cannot be further simplified.
To factor the expression completely, we can first find the greatest common factor (GCF) of the terms 70x^5 and 100x.
Step 1: Find the GCF of the coefficients 70 and 100. The common factors of 70 and 100 are 1, 2, 5, and 10. The largest common factor is 10.
Step 2: Find the GCF of the variables x^5 and x. The common factor is x.
Step 3: Combine the GCF of the coefficients and the GCF of the variables. The factored expression is:
10x(7x^4 + 10)
Therefore, the expression 70x^5 + 100x completely factors as 10x(7x^4 + 10).
To factor the expression 70x^5 + 100x completely, we need to look for the greatest common factor (GCF) among the terms.
Step 1: Find the GCF:
The GCF in this case is 10x, which can be factored out from both terms:
10x(7x^4 + 10)
Step 2: Factor the remaining expression:
Now, we need to factor the expression that is left, which is (7x^4 + 10).
Unfortunately, (7x^4 + 10) cannot be factored further since the terms do not share a common factor.
Therefore, the factored expression is:
10x(7x^4 + 10)