Algebra Examples

$\sqrt{29 x^{6}}$

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 $29 x^{6}$ as ${(x^{3})}^{2} \cdot 29$ .

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Step 1.1.1

Rewrite $x^{6}$ as ${(x^{3})}^{2}$ .

$\sqrt{29 {(x^{3})}^{2}}$

Step 1.1.2

Reorder $29$ and ${(x^{3})}^{2}$ .

$\sqrt{{(x^{3})}^{2} \cdot 29}$

Step 1.2

Pull terms out from under the radical.

$x^{3} \sqrt{29}$

Step 2

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$x^{3} \sqrt{29}$

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.

$x^{3} \sqrt{29}$

Step 4.2

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

$1$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $x^{3} \sqrt{29}$

Leading Coefficient: $1$