Finite Math Examples

$12^{7} + 16 x^{3} - 20 x^{2} + 28$

Step 1

Regroup terms.

$12^{7} + 16 x^{3} - 20 x^{2} + 28$

Step 2

Raise $12$ to the power of $7$ .

$35831808 + 16 x^{3} - 20 x^{2} + 28$

Step 3

Factor $16$ out of $35831808 + 16 x^{3}$ .

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Step 3.1

Factor $16$ out of $35831808$ .

$16 \cdot 2239488 + 16 x^{3} - 20 x^{2} + 28$

Step 3.2

Factor $16$ out of $16 \cdot 2239488 + 16 x^{3}$ .

$16 (2239488 + x^{3}) - 20 x^{2} + 28$

Step 4

Factor $4$ out of $- 20 x^{2} + 28$ .

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Step 4.1

Factor $4$ out of $- 20 x^{2}$ .

$16 (2239488 + x^{3}) + 4 (- 5 x^{2}) + 28$

Step 4.2

Factor $4$ out of $28$ .

$16 (2239488 + x^{3}) + 4 (- 5 x^{2}) + 4 (7)$

Step 4.3

Factor $4$ out of $4 (- 5 x^{2}) + 4 (7)$ .

$16 (2239488 + x^{3}) + 4 (- 5 x^{2} + 7)$

Step 5

Factor $4$ out of $16 (2239488 + x^{3}) + 4 (- 5 x^{2} + 7)$ .

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Step 5.1

Factor $4$ out of $16 (2239488 + x^{3})$ .

$4 (4 (2239488 + x^{3})) + 4 (- 5 x^{2} + 7)$

Step 5.2

Factor $4$ out of $4 (4 (2239488 + x^{3})) + 4 (- 5 x^{2} + 7)$ .

$4 (4 (2239488 + x^{3}) - 5 x^{2} + 7)$

Step 6

Apply the distributive property.

$4 (4 \cdot 2239488 + 4 x^{3} - 5 x^{2} + 7)$

Step 7

Multiply $4$ by $2239488$ .

$4 (8957952 + 4 x^{3} - 5 x^{2} + 7)$

Step 8

Add $8957952$ and $7$ .

$4 (4 x^{3} - 5 x^{2} + 8957959)$