Factoring Out Coefficients Made Simple

The video tutorial explains how to factor out coefficients in algebraic expressions. It begins with an introduction to the concept of factoring, equating it to dividing out the coefficient. The tutorial provides multiple examples, starting with fractional coefficients and moving to integer and mixed coefficients. Each example demonstrates the process of dividing each term by the coefficient and simplifying the expression. The video concludes with a motivational message encouraging viewers to continue practicing math.

What does it mean to factor out a coefficient in an algebraic expression?

• To add the coefficient to the expression

• To subtract the coefficient from the expression

• To multiply the expression by the coefficient

• To divide the coefficient out of the expression

When factoring out the coefficient 1/3 from the expression 1/3b - 1/3, what is the resulting expression?

• 1/3(b - 1)

• 1/3(b + 1)

• b - 1

• b + 1

How do you divide a fraction by another fraction?

• Add the fractions together

• Multiply by the reciprocal of the divisor

• Subtract the smaller fraction from the larger one

• Multiply the fractions directly

What is the result of factoring out the coefficient 4 from the expression 4H - 3?

• H - 3/4

• 4(H - 3/4)

• H + 3/4

• 4(H + 3/4)

In the expression 5/2K - 2, what is the result after factoring out the coefficient 5/2?

• K - 4/5

• 5/2(K - 4/5)

• K + 4/5

• 5/2(K + 4/5)