Algebra Examples

$2 x (3 x)$

Step 1

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

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Step 1.1

Rewrite using the commutative property of multiplication.

$2 \cdot 3 x \cdot x$

Step 1.2

Multiply $x$ by $x$ by adding the exponents.

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Step 1.2.1

Move $x$ .

$2 \cdot 3 (x \cdot x)$

Step 1.2.2

Multiply $x$ by $x$ .

$2 \cdot 3 x^{2}$

Step 1.3

Multiply $2$ by $3$ .

$6 x^{2}$

Step 2

The largest exponent is the degree of the polynomial.

$2$

Step 3

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

$6 x^{2}$

Step 4

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

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Step 4.1

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

$6 x^{2}$

Step 4.2

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

$6$

Step 5

List the results.

Polynomial Degree: $2$

Leading Term: $6 x^{2}$

Leading Coefficient: $6$