Question

factor the expression.
$5c^5 + 11c$
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hint: to add an exponent ($x^y$), type \exponent\ or press \^\
enter your answer

factor the polynomial by finding the greatest common factor.
$-14b^8n^8 - 2b^5n^5$
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Explanation:

Problem 1: $5c^5 + 11c$

Step1: Identify greatest common factor

The GCF of $5c^5$ and $11c$ is $c$.

Step2: Factor out the GCF

$5c^5 + 11c = c(5c^4 + 11)$

Problem 2: $-14b^8n^8 - 2b^5n^5$

Step1: Identify greatest common factor

The GCF of $-14b^8n^8$ and $-2b^5n^5$ is $-2b^5n^5$.

Step2: Factor out the GCF

$-14b^8n^8 - 2b^5n^5 = -2b^5n^5(7b^3n^3 + 1)$

Answer:

1. $c(5c^4 + 11)$
2. $-2b^5n^5(7b^3n^3 + 1)$