Find the Degree (x+1)^2(x-5)=0

${(x + 1)}^{2} (x - 5) = 0$

Simplify and reorder the polynomial.

Rewrite ${(x + 1)}^{2}$ as $(x + 1) (x + 1)$ .

$(x + 1) (x + 1) (x - 5)$

Expand $(x + 1) (x + 1)$ using the FOIL Method.

Apply the distributive property.

$(x (x + 1) + 1 (x + 1)) (x - 5)$

Apply the distributive property.

$(x \cdot x + x \cdot 1 + 1 (x + 1)) (x - 5)$

Apply the distributive property.

$(x \cdot x + x \cdot 1 + 1 x + 1 \cdot 1) (x - 5)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$(x^{2} + x \cdot 1 + 1 x + 1 \cdot 1) (x - 5)$

Multiply $x$ by $1$ .

$(x^{2} + x + 1 x + 1 \cdot 1) (x - 5)$

Multiply $x$ by $1$ .

$(x^{2} + x + x + 1 \cdot 1) (x - 5)$

Multiply $1$ by $1$ .

$(x^{2} + x + x + 1) (x - 5)$

Add $x$ and $x$ .

$(x^{2} + 2 x + 1) (x - 5)$

Expand $(x^{2} + 2 x + 1) (x - 5)$ by multiplying each term in the first expression by each term in the second expression.

$x^{2} x + x^{2} \cdot - 5 + 2 x \cdot x + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

Simplify terms.

Simplify each term.

Multiply $x^{2}$ by $x$ by adding the exponents.

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$x^{2} x^{1} + x^{2} \cdot - 5 + 2 x \cdot x + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{2 + 1} + x^{2} \cdot - 5 + 2 x \cdot x + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

Add $2$ and $1$ .

$x^{3} + x^{2} \cdot - 5 + 2 x \cdot x + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

Move $- 5$ to the left of $x^{2}$ .

$x^{3} - 5 \cdot x^{2} + 2 x \cdot x + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

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

Move $x$ .

$x^{3} - 5 x^{2} + 2 (x \cdot x) + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

Multiply $x$ by $x$ .

$x^{3} - 5 x^{2} + 2 x^{2} + 2 x \cdot - 5 + 1 x + 1 \cdot - 5$

Multiply $- 5$ by $2$ .

$x^{3} - 5 x^{2} + 2 x^{2} - 10 x + 1 x + 1 \cdot - 5$

Multiply $x$ by $1$ .

$x^{3} - 5 x^{2} + 2 x^{2} - 10 x + x + 1 \cdot - 5$

Multiply $- 5$ by $1$ .

$x^{3} - 5 x^{2} + 2 x^{2} - 10 x + x - 5$

Simplify by adding terms.

Add $- 5 x^{2}$ and $2 x^{2}$ .

$x^{3} - 3 x^{2} - 10 x + x - 5$

Add $- 10 x$ and $x$ .

$x^{3} - 3 x^{2} - 9 x - 5$

The largest exponent is the degree of the polynomial.

$3$

Find the Degree (x+1)^2(x-5)=0

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