Factoring ANY Coefficient

Factoring ANY
Coefficient

​What does it mean to "Factor" something out?

Open Ended

What does it mean to factor a coefficient or number out of an expression?

Think about the operations you are doing to accomplish the factoring.

​What does it mean to "Factor" something out?

​Factor out a:






Factor out b:

​Factor out the leading coefficient for each expression

Multiple Choice

Choose the correct factored option

Factor out the leading coefficient of the expression:

$$7x-5=$$

• $$7\left(x-\frac{5}{7}\right)$$

• $$5\left(7x-1\right)$$

• $$7\left(x-5\right)$$

• $$7\left(x-2.5\right)$$

Multiple Select

Choose all equivalent factored forms of the expression:

$$3x+4=$$

• $$3\left(x+\frac{4}{3}\right)$$

• $$4\left(\frac{3}{4}x+1\right)$$

• $$2\left(\frac{3}{2}x+2\right)$$

• $$3\left(x+4\right)$$

• $$-5\left(-\frac{3}{5}x-\frac{4}{5}\right)$$

Math Response

Factor the LEADING COEFFICIENT out of the expression:

$$2x-5=$$

Type answer here

Correct Answer: 2\left(x-\frac{5}{2}\right)

Deg^°

Rad

Math Response

Factor the LEADING COEFFICIENT out of the expression:

$$12-5x$$

Type answer here

Correct Answer: -5\left(x-\frac{12}{5}\right)

Deg^°

Rad

Multiple Choice

Factor the LEADING COEFFICIENT out of the expression:

$$2x-\frac{1}{3}=$$

• $$2\left(x-\frac{2}{3}\right)$$

• $$2\left(x-\frac{1}{6}\right)$$

• $$2\left(x-6\right)$$

• $$\frac{2}{3}\left(x-1\right)$$

​Factor out the leading coefficient for each expression

Multiple Choice

Factor out the leading coefficient:

$$\frac{2}{5}x+1=$$

• $$\frac{2}{5}\left(x+1\right)$$

• $$\frac{2}{5}\left(x+\frac{5}{2}\right)$$

• $$\frac{2}{5}\left(x-\frac{2}{5}\right)$$

• $$\frac{2}{5}\left(x+\frac{2}{5}\right)$$

Math Response

Factor out the leading coefficient:

$$\frac{3}{\pi}x-4=$$

Type answer here

Correct Answer: \frac{3}{\pi}\left(x-\frac{4\pi}{3}\right)

Deg^°

Rad

Math Response

Factor out the leading coefficient:

$$\frac{7}{3}x+\frac{1}{5}=$$

Type answer here

Correct Answer: \frac{7}{3}\left(x+\frac{3}{35}\right)

Deg^°

Rad