Algebra Examples

$12 x^{2} + 6 - 7 x^{5} + 3 x^{3} + 7 x^{4} - 5 x$

Step 1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

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Step 1.1

Move $6$ .

$12 x^{2} - 7 x^{5} + 3 x^{3} + 7 x^{4} - 5 x + 6$

Step 1.2

Move $12 x^{2}$ .

$- 7 x^{5} + 3 x^{3} + 7 x^{4} + 12 x^{2} - 5 x + 6$

Step 1.3

Move $3 x^{3}$ .

$- 7 x^{5} + 7 x^{4} + 3 x^{3} + 12 x^{2} - 5 x + 6$

Step 2

The leading term in a polynomial is the term with the highest degree.

$- 7 x^{5}$

Step 3

The leading coefficient in a polynomial is the coefficient of the leading term.

$- 7$