Algebra Examples

3 x^{2} - 2 x + 5

$3 x^{2} - 2 x + 5$

Step 1

The degree of a polynomial is the highest degree of its terms.

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Step 1.1

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

3 x^{2} \to 2

$3 x^{2} \to 2$

- 2 x \to 1

$- 2 x \to 1$

5 \to 0

$5 \to 0$

Step 1.2

The largest exponent is the degree of the polynomial.

2

$2$

2

$2$

Step 2

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

3 x^{2}

$3 x^{2}$

Step 3

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

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Step 3.1

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

3 x^{2}

$3 x^{2}$

Step 3.2

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

3

$3$

3

$3$

Step 4

List the results.

Polynomial Degree:

2

$2$

Leading Term:

3 x^{2}

$3 x^{2}$

Leading Coefficient:

3

$3$

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