Algebra Examples

$f (x) = {(x + 1)}^{\frac{1}{2}} (x + 2)$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Apply the distributive property.

${(x + 1)}^{\frac{1}{2}} x + {(x + 1)}^{\frac{1}{2}} \cdot 2$

Step 1.2

Simplify the expression.

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Step 1.2.1

Move $2$ to the left of ${(x + 1)}^{\frac{1}{2}}$ .

${(x + 1)}^{\frac{1}{2}} x + 2 \cdot {(x + 1)}^{\frac{1}{2}}$

Step 1.2.2

Reorder factors in ${(x + 1)}^{\frac{1}{2}} x + 2 {(x + 1)}^{\frac{1}{2}}$ .

$x {(x + 1)}^{\frac{1}{2}} + 2 {(x + 1)}^{\frac{1}{2}}$

Step 2

The degree cannot be determined because $x {(x + 1)}^{\frac{1}{2}} + 2 {(x + 1)}^{\frac{1}{2}}$ is not a polynomial.

Not a polynomial