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factor out the greatest common factor. $20x^{5} + 5x^{2} + 15x$ $?x(\\s…

Question

factor out the greatest common factor.
$20x^{5} + 5x^{2} + 15x$
$?x(\square x^{4} + x + \square)$

Explanation:

Step1: Identify GCF of coefficients

Find GCF of 20, 5, 15: $\gcd(20,5,15)=5$

Step2: Identify GCF of variables

Find GCF of $x^5, x^2, x$: $x^1=x$

Step3: Factor out overall GCF

Divide each term by $5x$:
$\frac{20x^5}{5x}=4x^4$, $\frac{5x^2}{5x}=x$, $\frac{15x}{5x}=3$

Answer:

$5x(4x^4 + x + 3)$
The missing values are 5, 4, and 3 respectively.