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factoring day 1
score: 36/48 answered: 18/24
question 19
factor completely.
$28u^{9}-8u^{8}+12u^{4}=$
question help: video written example

Explanation:

Step1: Find GCF of coefficients

The coefficients are 28, -8, 12. Their greatest common factor (GCF) is 4.

Step2: Find GCF of variable terms

The variable terms are $u^9$, $u^8$, $u^4$. The GCF is $u^4$.

Step3: Factor out overall GCF

Factor $4u^4$ from each term.
$28u^9 - 8u^8 + 12u^4 = 4u^4(7u^5 - 2u^4 + 3)$

Step4: Check for further factoring

The polynomial $7u^5 - 2u^4 + 3$ has no common factors and cannot be factored further over integers.

Answer:

$4u^4(7u^5 - 2u^4 + 3)$