Calculus Examples

$4 x^{3} - 42 x + 104 x$

Step 1

Factor out the GCF of $2 x$ from $4 x^{3} - 42 x + 104 x$ .

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Step 1.1

Factor out the GCF of $2 x$ from each term in the polynomial.

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Step 1.1.1

Factor out the GCF of $2 x$ from the expression $4 x^{3}$ .

$2 x (2 x^{2}) - 42 x + 104 x$

Step 1.1.2

Factor out the GCF of $2 x$ from the expression $- 42 x$ .

$2 x (2 x^{2}) + 2 x (- 21) + 104 x$

Step 1.1.3

Factor out the GCF of $2 x$ from the expression $104 x$ .

$2 x (2 x^{2}) + 2 x (- 21) + 2 x (52)$

Step 1.2

Since all the terms share a common factor of $2 x$ , it can be factored out of each term.

$2 x (2 x^{2} - 21 + 52)$

Step 2

Add $- 21$ and $52$ .

$2 x (2 x^{2} + 31)$