1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$436 \div 100 =$$

Evaluate

$\frac{109}{25}=4.36$

Steps For Long Division Method

Use the $1^{st}$ digit $4$ from dividend $436$

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)436}\\\end{array}$$

Since $4$ is less than $100$, use the next digit $3$ from dividend $436$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)436}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $436$

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)436}\\\end{array}$$

Since $43$ is less than $100$, use the next digit $6$ from dividend $436$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)436}\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $436$

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)436}\\\end{array}$$

Find closest multiple of $100$ to $436$. We see that $4 \times 100 = 400$ is the nearest. Now subtract $400$ from $436$ to get reminder $36$. Add $4$ to quotient.

$$\begin{array}{l}\phantom{100)}004\phantom{6}\\100\overline{)436}\\\phantom{100)}\underline{\phantom{}400\phantom{}}\\\phantom{100)9}36\\\end{array}$$

Since $36$ is less than $100$, stop the division. The reminder is $36$. The topmost line $004$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $4$.

$$\text{Quotient: }4$$ $$\text{Reminder: }36$$

Show Solution

Factor

$\frac{109}{5 ^ {2}} = 4\frac{9}{25} = 4.36$